9(x-4)=-2x+52

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Solution for 9(x-4)=-2x+52 equation:


Simplifying
9(x + -4) = -2x + 52

Reorder the terms:
9(-4 + x) = -2x + 52
(-4 * 9 + x * 9) = -2x + 52
(-36 + 9x) = -2x + 52

Reorder the terms:
-36 + 9x = 52 + -2x

Solving
-36 + 9x = 52 + -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.
-36 + 9x + 2x = 52 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-36 + 11x = 52 + -2x + 2x

Combine like terms: -2x + 2x = 0
-36 + 11x = 52 + 0
-36 + 11x = 52

Add '36' to each side of the equation.
-36 + 36 + 11x = 52 + 36

Combine like terms: -36 + 36 = 0
0 + 11x = 52 + 36
11x = 52 + 36

Combine like terms: 52 + 36 = 88
11x = 88

Divide each side by '11'.
x = 8

Simplifying
x = 8

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