15-(8x-3)=4(x+5)-x

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Solution for 15-(8x-3)=4(x+5)-x equation:


Simplifying
15 + -1(8x + -3) = 4(x + 5) + -1x

Reorder the terms:
15 + -1(-3 + 8x) = 4(x + 5) + -1x
15 + (-3 * -1 + 8x * -1) = 4(x + 5) + -1x
15 + (3 + -8x) = 4(x + 5) + -1x

Combine like terms: 15 + 3 = 18
18 + -8x = 4(x + 5) + -1x

Reorder the terms:
18 + -8x = 4(5 + x) + -1x
18 + -8x = (5 * 4 + x * 4) + -1x
18 + -8x = (20 + 4x) + -1x

Combine like terms: 4x + -1x = 3x
18 + -8x = 20 + 3x

Solving
18 + -8x = 20 + 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.
18 + -8x + -3x = 20 + 3x + -3x

Combine like terms: -8x + -3x = -11x
18 + -11x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -11x = 20 + 0
18 + -11x = 20

Add '-18' to each side of the equation.
18 + -18 + -11x = 20 + -18

Combine like terms: 18 + -18 = 0
0 + -11x = 20 + -18
-11x = 20 + -18

Combine like terms: 20 + -18 = 2
-11x = 2

Divide each side by '-11'.
x = -0.1818181818

Simplifying
x = -0.1818181818

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