5(x-11)+15=3x-28

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Solution for 5(x-11)+15=3x-28 equation:


Simplifying
5(x + -11) + 15 = 3x + -28

Reorder the terms:
5(-11 + x) + 15 = 3x + -28
(-11 * 5 + x * 5) + 15 = 3x + -28
(-55 + 5x) + 15 = 3x + -28

Reorder the terms:
-55 + 15 + 5x = 3x + -28

Combine like terms: -55 + 15 = -40
-40 + 5x = 3x + -28

Reorder the terms:
-40 + 5x = -28 + 3x

Solving
-40 + 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.
-40 + 5x + -3x = -28 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-40 + 2x = -28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 2x = -28 + 0
-40 + 2x = -28

Add '40' to each side of the equation.
-40 + 40 + 2x = -28 + 40

Combine like terms: -40 + 40 = 0
0 + 2x = -28 + 40
2x = -28 + 40

Combine like terms: -28 + 40 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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