3x-8=2(2x+3)-11

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Solution for 3x-8=2(2x+3)-11 equation:


Simplifying
3x + -8 = 2(2x + 3) + -11

Reorder the terms:
-8 + 3x = 2(2x + 3) + -11

Reorder the terms:
-8 + 3x = 2(3 + 2x) + -11
-8 + 3x = (3 * 2 + 2x * 2) + -11
-8 + 3x = (6 + 4x) + -11

Reorder the terms:
-8 + 3x = 6 + -11 + 4x

Combine like terms: 6 + -11 = -5
-8 + 3x = -5 + 4x

Solving
-8 + 3x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 3x + -4x = -5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = -5 + 0
-8 + -1x = -5

Add '8' to each side of the equation.
-8 + 8 + -1x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -5 + 8
-1x = -5 + 8

Combine like terms: -5 + 8 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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