3x+5-2x=-4(x+2)-7

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Solution for 3x+5-2x=-4(x+2)-7 equation:


Simplifying
3x + 5 + -2x = -4(x + 2) + -7

Reorder the terms:
5 + 3x + -2x = -4(x + 2) + -7

Combine like terms: 3x + -2x = 1x
5 + 1x = -4(x + 2) + -7

Reorder the terms:
5 + 1x = -4(2 + x) + -7
5 + 1x = (2 * -4 + x * -4) + -7
5 + 1x = (-8 + -4x) + -7

Reorder the terms:
5 + 1x = -8 + -7 + -4x

Combine like terms: -8 + -7 = -15
5 + 1x = -15 + -4x

Solving
5 + 1x = -15 + -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.
5 + 1x + 4x = -15 + -4x + 4x

Combine like terms: 1x + 4x = 5x
5 + 5x = -15 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 5x = -15 + 0
5 + 5x = -15

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

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

Combine like terms: -15 + -5 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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