15+x-4=2(x-2)+7

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Solution for 15+x-4=2(x-2)+7 equation:


Simplifying
15 + x + -4 = 2(x + -2) + 7

Reorder the terms:
15 + -4 + x = 2(x + -2) + 7

Combine like terms: 15 + -4 = 11
11 + x = 2(x + -2) + 7

Reorder the terms:
11 + x = 2(-2 + x) + 7
11 + x = (-2 * 2 + x * 2) + 7
11 + x = (-4 + 2x) + 7

Reorder the terms:
11 + x = -4 + 7 + 2x

Combine like terms: -4 + 7 = 3
11 + x = 3 + 2x

Solving
11 + x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + x + -2x = 3 + 2x + -2x

Combine like terms: x + -2x = -1x
11 + -1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -1x = 3 + 0
11 + -1x = 3

Add '-11' to each side of the equation.
11 + -11 + -1x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 3 + -11
-1x = 3 + -11

Combine like terms: 3 + -11 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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