-2x+5=4(x+2)-(x+8)

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Solution for -2x+5=4(x+2)-(x+8) equation:


Simplifying
-2x + 5 = 4(x + 2) + -1(x + 8)

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

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

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

Reorder the terms:
5 + -2x = 8 + -8 + 4x + -1x

Combine like terms: 8 + -8 = 0
5 + -2x = 0 + 4x + -1x
5 + -2x = 4x + -1x

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

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

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

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

Add '-5' to each side of the equation.
5 + -5 + -5x = 0 + -5

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

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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