5(3x-5)-3=5(x-4)+12

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Solution for 5(3x-5)-3=5(x-4)+12 equation:


Simplifying
5(3x + -5) + -3 = 5(x + -4) + 12

Reorder the terms:
5(-5 + 3x) + -3 = 5(x + -4) + 12
(-5 * 5 + 3x * 5) + -3 = 5(x + -4) + 12
(-25 + 15x) + -3 = 5(x + -4) + 12

Reorder the terms:
-25 + -3 + 15x = 5(x + -4) + 12

Combine like terms: -25 + -3 = -28
-28 + 15x = 5(x + -4) + 12

Reorder the terms:
-28 + 15x = 5(-4 + x) + 12
-28 + 15x = (-4 * 5 + x * 5) + 12
-28 + 15x = (-20 + 5x) + 12

Reorder the terms:
-28 + 15x = -20 + 12 + 5x

Combine like terms: -20 + 12 = -8
-28 + 15x = -8 + 5x

Solving
-28 + 15x = -8 + 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.
-28 + 15x + -5x = -8 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-28 + 10x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-28 + 10x = -8 + 0
-28 + 10x = -8

Add '28' to each side of the equation.
-28 + 28 + 10x = -8 + 28

Combine like terms: -28 + 28 = 0
0 + 10x = -8 + 28
10x = -8 + 28

Combine like terms: -8 + 28 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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