2(x-3)-32=18-5x

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Solution for 2(x-3)-32=18-5x equation:


Simplifying
2(x + -3) + -32 = 18 + -5x

Reorder the terms:
2(-3 + x) + -32 = 18 + -5x
(-3 * 2 + x * 2) + -32 = 18 + -5x
(-6 + 2x) + -32 = 18 + -5x

Reorder the terms:
-6 + -32 + 2x = 18 + -5x

Combine like terms: -6 + -32 = -38
-38 + 2x = 18 + -5x

Solving
-38 + 2x = 18 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-38 + 2x + 5x = 18 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-38 + 7x = 18 + -5x + 5x

Combine like terms: -5x + 5x = 0
-38 + 7x = 18 + 0
-38 + 7x = 18

Add '38' to each side of the equation.
-38 + 38 + 7x = 18 + 38

Combine like terms: -38 + 38 = 0
0 + 7x = 18 + 38
7x = 18 + 38

Combine like terms: 18 + 38 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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