3(5x+4)-20=13x-4

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Solution for 3(5x+4)-20=13x-4 equation:


Simplifying
3(5x + 4) + -20 = 13x + -4

Reorder the terms:
3(4 + 5x) + -20 = 13x + -4
(4 * 3 + 5x * 3) + -20 = 13x + -4
(12 + 15x) + -20 = 13x + -4

Reorder the terms:
12 + -20 + 15x = 13x + -4

Combine like terms: 12 + -20 = -8
-8 + 15x = 13x + -4

Reorder the terms:
-8 + 15x = -4 + 13x

Solving
-8 + 15x = -4 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-8 + 15x + -13x = -4 + 13x + -13x

Combine like terms: 15x + -13x = 2x
-8 + 2x = -4 + 13x + -13x

Combine like terms: 13x + -13x = 0
-8 + 2x = -4 + 0
-8 + 2x = -4

Add '8' to each side of the equation.
-8 + 8 + 2x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -4 + 8
2x = -4 + 8

Combine like terms: -4 + 8 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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