Solve the following equation for xx. Express your answer in the simplest form.minus, 10, plus, start fraction, 3, divided by, 2, end fraction, left bracket, minus, 8, x, minus, 4, right bracket, equals, 4, minus, 2, left bracket, 6, x, plus, 10, right bracket−10+ 23 (−8x−4)=4−2(6x+10)
Question
Solve the following equation for xx. Express your answer in the simplest form.minus, 10, plus, start fraction, 3, divided by, 2, end fraction, left bracket, minus, 8, x, minus, 4, right bracket, equals, 4, minus, 2, left bracket, 6, x, plus, 10, right bracket−10+ 23 (−8x−4)=4−2(6x+10)
Solution
The equation you provided is: -10 + 3/2(-8x - 4) = 4 - 2(6x + 10)
Let's solve it step by step:
Step 1: Distribute the 3/2 across the terms in the first bracket and the -2 across the terms in the second bracket:
= -10 -12x - 6 = 4 - 12x - 20
Step 2: Simplify both sides of the equation:
= -16 - 12x = -16 - 12x
Step 3: As you can see, both sides of the equation are identical. This means that the equation is true for all values of x. Therefore, the solution to this equation is all real numbers.
Similar Questions
Solve the following equation for xx. Express your answer in the simplest form.minus, 2, left bracket, minus, 2, x, minus, 1, right bracket, minus, 2, equals, minus, left bracket, 9, x, minus, 3, right bracket, minus, 8−2(−2x−1)−2=−(9x−3)−8
Solve the following equation for xx. Express your answer in the simplest form.minus, 5, left bracket, 4, x, plus, 8, right bracket, equals, minus, x, plus, 3−5(4x+8)=−x+3
Solve the following equation for xx. Express your answer in the simplest form.4, left bracket, 7, x, minus, 1, right bracket, plus, 4, equals, 7, minus, 8, left bracket, 9, x, plus, 6, right bracket4(7x−1)+4=7−8(9x+6)
Solve the following equation for xx. Express your answer in the simplest form.minus, 3, left bracket, x, plus, 1, right bracket, plus, 3, equals, start fraction, 3, divided by, 2, end fraction, left bracket, minus, 2, x, plus, 2, right bracket, minus, 2−3(x+1)+3=23 (−2x+2)−2
Solve the following equation for xx. Express your answer in the simplest form.minus, left bracket, minus, x, minus, 7, right bracket, equals, x, plus, 6−(−x−7)=x+6
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.