4(x-2)-2(x+3)=15+x

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Solution for 4(x-2)-2(x+3)=15+x equation:


Simplifying
4(x + -2) + -2(x + 3) = 15 + x

Reorder the terms:
4(-2 + x) + -2(x + 3) = 15 + x
(-2 * 4 + x * 4) + -2(x + 3) = 15 + x
(-8 + 4x) + -2(x + 3) = 15 + x

Reorder the terms:
-8 + 4x + -2(3 + x) = 15 + x
-8 + 4x + (3 * -2 + x * -2) = 15 + x
-8 + 4x + (-6 + -2x) = 15 + x

Reorder the terms:
-8 + -6 + 4x + -2x = 15 + x

Combine like terms: -8 + -6 = -14
-14 + 4x + -2x = 15 + x

Combine like terms: 4x + -2x = 2x
-14 + 2x = 15 + x

Solving
-14 + 2x = 15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 2x + -1x = 15 + x + -1x

Combine like terms: 2x + -1x = 1x
-14 + 1x = 15 + x + -1x

Combine like terms: x + -1x = 0
-14 + 1x = 15 + 0
-14 + 1x = 15

Add '14' to each side of the equation.
-14 + 14 + 1x = 15 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 15 + 14
1x = 15 + 14

Combine like terms: 15 + 14 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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