5(x-7)+8=3(x-5)

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Solution for 5(x-7)+8=3(x-5) equation:


Simplifying
5(x + -7) + 8 = 3(x + -5)

Reorder the terms:
5(-7 + x) + 8 = 3(x + -5)
(-7 * 5 + x * 5) + 8 = 3(x + -5)
(-35 + 5x) + 8 = 3(x + -5)

Reorder the terms:
-35 + 8 + 5x = 3(x + -5)

Combine like terms: -35 + 8 = -27
-27 + 5x = 3(x + -5)

Reorder the terms:
-27 + 5x = 3(-5 + x)
-27 + 5x = (-5 * 3 + x * 3)
-27 + 5x = (-15 + 3x)

Solving
-27 + 5x = -15 + 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.
-27 + 5x + -3x = -15 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-27 + 2x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + 2x = -15 + 0
-27 + 2x = -15

Add '27' to each side of the equation.
-27 + 27 + 2x = -15 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = -15 + 27
2x = -15 + 27

Combine like terms: -15 + 27 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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