2(2x-7)+x=2(x-9)-18

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Solution for 2(2x-7)+x=2(x-9)-18 equation:


Simplifying
2(2x + -7) + x = 2(x + -9) + -18

Reorder the terms:
2(-7 + 2x) + x = 2(x + -9) + -18
(-7 * 2 + 2x * 2) + x = 2(x + -9) + -18
(-14 + 4x) + x = 2(x + -9) + -18

Combine like terms: 4x + x = 5x
-14 + 5x = 2(x + -9) + -18

Reorder the terms:
-14 + 5x = 2(-9 + x) + -18
-14 + 5x = (-9 * 2 + x * 2) + -18
-14 + 5x = (-18 + 2x) + -18

Reorder the terms:
-14 + 5x = -18 + -18 + 2x

Combine like terms: -18 + -18 = -36
-14 + 5x = -36 + 2x

Solving
-14 + 5x = -36 + 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.
-14 + 5x + -2x = -36 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-14 + 3x = -36 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 3x = -36 + 0
-14 + 3x = -36

Add '14' to each side of the equation.
-14 + 14 + 3x = -36 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = -36 + 14
3x = -36 + 14

Combine like terms: -36 + 14 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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