Solve for xx:3, x, minus, 2, left parenthesis, 8, x, plus, 8, right parenthesis, equals, minus, left parenthesis, 7, x, minus, 10, right parenthesis, minus, 2, x3x−2(8x+8)=−(7x−10)−2x
Question
Solve for xx:3, x, minus, 2, left parenthesis, 8, x, plus, 8, right parenthesis, equals, minus, left parenthesis, 7, x, minus, 10, right parenthesis, minus, 2, x3x−2(8x+8)=−(7x−10)−2x
Solution
The given equation is: 3x - 2(8x + 8) = -(7x - 10) - 2x
Let's solve it step by step:
Step 1: Distribute the numbers outside the parentheses on both sides of the equation:
3x - 16x - 16 = -7x + 10 - 2x
Step 2: Combine like terms on both sides:
-13x - 16 = -9x + 10
Step 3: Add 13x to both sides to get the x terms on one side:
-16 = 4x + 10
Step 4: Subtract 10 from both sides to isolate the x term:
-26 = 4x
Step 5: Divide both sides by 4 to solve for x:
x = -26 / 4
So, x = -6.5 is the solution to the equation.
Similar Questions
Solve for xx:minus, 10, x, plus, 3, left parenthesis, 3, x, plus, 4, right parenthesis, plus, 1, equals, minus, 3, left parenthesis, 7, x, plus, 3, right parenthesis−10x+3(3x+4)+1=−3(7x+3)
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, 7, minus, 2, left bracket, 3, x, minus, 7, right bracket, equals, 3, left bracket, minus, 2, x, plus, 1, right bracket, plus, 5−7−2(3x−7)=3(−2x+1)+5
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
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)
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.