7(x-2)=-2x+58

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Solution for 7(x-2)=-2x+58 equation:


Simplifying
7(x + -2) = -2x + 58

Reorder the terms:
7(-2 + x) = -2x + 58
(-2 * 7 + x * 7) = -2x + 58
(-14 + 7x) = -2x + 58

Reorder the terms:
-14 + 7x = 58 + -2x

Solving
-14 + 7x = 58 + -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 + 7x + 2x = 58 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-14 + 9x = 58 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 9x = 58 + 0
-14 + 9x = 58

Add '14' to each side of the equation.
-14 + 14 + 9x = 58 + 14

Combine like terms: -14 + 14 = 0
0 + 9x = 58 + 14
9x = 58 + 14

Combine like terms: 58 + 14 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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