2(2x+1)-3(x+1)=8

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Solution for 2(2x+1)-3(x+1)=8 equation: 


Simplifying
2(2x + 1) + -3(x + 1) = 8

Reorder the terms:
2(1 + 2x) + -3(x + 1) = 8
(1 * 2 + 2x * 2) + -3(x + 1) = 8
(2 + 4x) + -3(x + 1) = 8

Reorder the terms:
2 + 4x + -3(1 + x) = 8
2 + 4x + (1 * -3 + x * -3) = 8
2 + 4x + (-3 + -3x) = 8

Reorder the terms:
2 + -3 + 4x + -3x = 8

Combine like terms: 2 + -3 = -1
-1 + 4x + -3x = 8

Combine like terms: 4x + -3x = 1x
-1 + 1x = 8

Solving
-1 + 1x = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 1x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 8 + 1
1x = 8 + 1

Combine like terms: 8 + 1 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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