5-2x=11-7(x+2)

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Solution for 5-2x=11-7(x+2) equation:


Simplifying
5 + -2x = 11 + -7(x + 2)

Reorder the terms:
5 + -2x = 11 + -7(2 + x)
5 + -2x = 11 + (2 * -7 + x * -7)
5 + -2x = 11 + (-14 + -7x)

Combine like terms: 11 + -14 = -3
5 + -2x = -3 + -7x

Solving
5 + -2x = -3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
5 + -2x + 7x = -3 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
5 + 5x = -3 + 0
5 + 5x = -3

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

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

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

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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