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

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


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

Reorder the terms:
5x + -2(-1 + 6x) = 3(2x + 5)
5x + (-1 * -2 + 6x * -2) = 3(2x + 5)
5x + (2 + -12x) = 3(2x + 5)

Reorder the terms:
2 + 5x + -12x = 3(2x + 5)

Combine like terms: 5x + -12x = -7x
2 + -7x = 3(2x + 5)

Reorder the terms:
2 + -7x = 3(5 + 2x)
2 + -7x = (5 * 3 + 2x * 3)
2 + -7x = (15 + 6x)

Solving
2 + -7x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + -7x + -6x = 15 + 6x + -6x

Combine like terms: -7x + -6x = -13x
2 + -13x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -13x = 15 + 0
2 + -13x = 15

Add '-2' to each side of the equation.
2 + -2 + -13x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = 15 + -2
-13x = 15 + -2

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

Divide each side by '-13'.
x = -1

Simplifying
x = -1

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