7-(3x+2)=2x-11+3x

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Solution for 7-(3x+2)=2x-11+3x equation:


Simplifying
7 + -1(3x + 2) = 2x + -11 + 3x

Reorder the terms:
7 + -1(2 + 3x) = 2x + -11 + 3x
7 + (2 * -1 + 3x * -1) = 2x + -11 + 3x
7 + (-2 + -3x) = 2x + -11 + 3x

Combine like terms: 7 + -2 = 5
5 + -3x = 2x + -11 + 3x

Reorder the terms:
5 + -3x = -11 + 2x + 3x

Combine like terms: 2x + 3x = 5x
5 + -3x = -11 + 5x

Solving
5 + -3x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + -3x + -5x = -11 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
5 + -8x = -11 + 0
5 + -8x = -11

Add '-5' to each side of the equation.
5 + -5 + -8x = -11 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -11 + -5
-8x = -11 + -5

Combine like terms: -11 + -5 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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