5(x-13)+15=3x-28

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Solution for 5(x-13)+15=3x-28 equation:


Simplifying
5(x + -13) + 15 = 3x + -28

Reorder the terms:
5(-13 + x) + 15 = 3x + -28
(-13 * 5 + x * 5) + 15 = 3x + -28
(-65 + 5x) + 15 = 3x + -28

Reorder the terms:
-65 + 15 + 5x = 3x + -28

Combine like terms: -65 + 15 = -50
-50 + 5x = 3x + -28

Reorder the terms:
-50 + 5x = -28 + 3x

Solving
-50 + 5x = -28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-50 + 5x + -3x = -28 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-50 + 2x = -28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-50 + 2x = -28 + 0
-50 + 2x = -28

Add '50' to each side of the equation.
-50 + 50 + 2x = -28 + 50

Combine like terms: -50 + 50 = 0
0 + 2x = -28 + 50
2x = -28 + 50

Combine like terms: -28 + 50 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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