5(2x-2+3)=6(x+4-15)

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Solution for 5(2x-2+3)=6(x+4-15) equation:


Simplifying
5(2x + -2 + 3) = 6(x + 4 + -15)

Reorder the terms:
5(-2 + 3 + 2x) = 6(x + 4 + -15)

Combine like terms: -2 + 3 = 1
5(1 + 2x) = 6(x + 4 + -15)
(1 * 5 + 2x * 5) = 6(x + 4 + -15)
(5 + 10x) = 6(x + 4 + -15)

Reorder the terms:
5 + 10x = 6(4 + -15 + x)

Combine like terms: 4 + -15 = -11
5 + 10x = 6(-11 + x)
5 + 10x = (-11 * 6 + x * 6)
5 + 10x = (-66 + 6x)

Solving
5 + 10x = -66 + 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.
5 + 10x + -6x = -66 + 6x + -6x

Combine like terms: 10x + -6x = 4x
5 + 4x = -66 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + 4x = -66 + 0
5 + 4x = -66

Add '-5' to each side of the equation.
5 + -5 + 4x = -66 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -66 + -5
4x = -66 + -5

Combine like terms: -66 + -5 = -71
4x = -71

Divide each side by '4'.
x = -17.75

Simplifying
x = -17.75

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