5(4x-1)+10=3(5x+2)-6

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Solution for 5(4x-1)+10=3(5x+2)-6 equation:


Simplifying
5(4x + -1) + 10 = 3(5x + 2) + -6

Reorder the terms:
5(-1 + 4x) + 10 = 3(5x + 2) + -6
(-1 * 5 + 4x * 5) + 10 = 3(5x + 2) + -6
(-5 + 20x) + 10 = 3(5x + 2) + -6

Reorder the terms:
-5 + 10 + 20x = 3(5x + 2) + -6

Combine like terms: -5 + 10 = 5
5 + 20x = 3(5x + 2) + -6

Reorder the terms:
5 + 20x = 3(2 + 5x) + -6
5 + 20x = (2 * 3 + 5x * 3) + -6
5 + 20x = (6 + 15x) + -6

Reorder the terms:
5 + 20x = 6 + -6 + 15x

Combine like terms: 6 + -6 = 0
5 + 20x = 0 + 15x
5 + 20x = 15x

Solving
5 + 20x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
5 + 20x + -15x = 15x + -15x

Combine like terms: 20x + -15x = 5x
5 + 5x = 15x + -15x

Combine like terms: 15x + -15x = 0
5 + 5x = 0

Add '-5' to each side of the equation.
5 + -5 + 5x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 0 + -5
5x = 0 + -5

Combine like terms: 0 + -5 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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