4(x+2)-6x+15=10-(x-8)

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Solution for 4(x+2)-6x+15=10-(x-8) equation:


Simplifying
4(x + 2) + -6x + 15 = 10 + -1(x + -8)

Reorder the terms:
4(2 + x) + -6x + 15 = 10 + -1(x + -8)
(2 * 4 + x * 4) + -6x + 15 = 10 + -1(x + -8)
(8 + 4x) + -6x + 15 = 10 + -1(x + -8)

Reorder the terms:
8 + 15 + 4x + -6x = 10 + -1(x + -8)

Combine like terms: 8 + 15 = 23
23 + 4x + -6x = 10 + -1(x + -8)

Combine like terms: 4x + -6x = -2x
23 + -2x = 10 + -1(x + -8)

Reorder the terms:
23 + -2x = 10 + -1(-8 + x)
23 + -2x = 10 + (-8 * -1 + x * -1)
23 + -2x = 10 + (8 + -1x)

Combine like terms: 10 + 8 = 18
23 + -2x = 18 + -1x

Solving
23 + -2x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
23 + -2x + x = 18 + -1x + x

Combine like terms: -2x + x = -1x
23 + -1x = 18 + -1x + x

Combine like terms: -1x + x = 0
23 + -1x = 18 + 0
23 + -1x = 18

Add '-23' to each side of the equation.
23 + -23 + -1x = 18 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 18 + -23
-1x = 18 + -23

Combine like terms: 18 + -23 = -5
-1x = -5

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

Simplifying
x = 5

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