5(x-3)=x+13

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Solution for 5(x-3)=x+13 equation:


Simplifying
5(x + -3) = x + 13

Reorder the terms:
5(-3 + x) = x + 13
(-3 * 5 + x * 5) = x + 13
(-15 + 5x) = x + 13

Reorder the terms:
-15 + 5x = 13 + x

Solving
-15 + 5x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-15 + 5x + -1x = 13 + x + -1x

Combine like terms: 5x + -1x = 4x
-15 + 4x = 13 + x + -1x

Combine like terms: x + -1x = 0
-15 + 4x = 13 + 0
-15 + 4x = 13

Add '15' to each side of the equation.
-15 + 15 + 4x = 13 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 13 + 15
4x = 13 + 15

Combine like terms: 13 + 15 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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