2(x-5)-36=8-7x

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Solution for 2(x-5)-36=8-7x equation:


Simplifying
2(x + -5) + -36 = 8 + -7x

Reorder the terms:
2(-5 + x) + -36 = 8 + -7x
(-5 * 2 + x * 2) + -36 = 8 + -7x
(-10 + 2x) + -36 = 8 + -7x

Reorder the terms:
-10 + -36 + 2x = 8 + -7x

Combine like terms: -10 + -36 = -46
-46 + 2x = 8 + -7x

Solving
-46 + 2x = 8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-46 + 2x + 7x = 8 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-46 + 9x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
-46 + 9x = 8 + 0
-46 + 9x = 8

Add '46' to each side of the equation.
-46 + 46 + 9x = 8 + 46

Combine like terms: -46 + 46 = 0
0 + 9x = 8 + 46
9x = 8 + 46

Combine like terms: 8 + 46 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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