11-2(x-2)=40+3x

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Solution for 11-2(x-2)=40+3x equation:


Simplifying
11 + -2(x + -2) = 40 + 3x

Reorder the terms:
11 + -2(-2 + x) = 40 + 3x
11 + (-2 * -2 + x * -2) = 40 + 3x
11 + (4 + -2x) = 40 + 3x

Combine like terms: 11 + 4 = 15
15 + -2x = 40 + 3x

Solving
15 + -2x = 40 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -2x + -3x = 40 + 3x + -3x

Combine like terms: -2x + -3x = -5x
15 + -5x = 40 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -5x = 40 + 0
15 + -5x = 40

Add '-15' to each side of the equation.
15 + -15 + -5x = 40 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 40 + -15
-5x = 40 + -15

Combine like terms: 40 + -15 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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