13-43=5(x-2)-5

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Solution for 13-43=5(x-2)-5 equation:


Simplifying
13 + -43 = 5(x + -2) + -5

Combine like terms: 13 + -43 = -30
-30 = 5(x + -2) + -5

Reorder the terms:
-30 = 5(-2 + x) + -5
-30 = (-2 * 5 + x * 5) + -5
-30 = (-10 + 5x) + -5

Reorder the terms:
-30 = -10 + -5 + 5x

Combine like terms: -10 + -5 = -15
-30 = -15 + 5x

Solving
-30 = -15 + 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.
-30 + -5x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-30 + -5x = -15 + 0
-30 + -5x = -15

Add '30' to each side of the equation.
-30 + 30 + -5x = -15 + 30

Combine like terms: -30 + 30 = 0
0 + -5x = -15 + 30
-5x = -15 + 30

Combine like terms: -15 + 30 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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