5(x-2)-6(2x-3)=13-8(3x+2)

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Solution for 5(x-2)-6(2x-3)=13-8(3x+2) equation:


Simplifying
5(x + -2) + -6(2x + -3) = 13 + -8(3x + 2)

Reorder the terms:
5(-2 + x) + -6(2x + -3) = 13 + -8(3x + 2)
(-2 * 5 + x * 5) + -6(2x + -3) = 13 + -8(3x + 2)
(-10 + 5x) + -6(2x + -3) = 13 + -8(3x + 2)

Reorder the terms:
-10 + 5x + -6(-3 + 2x) = 13 + -8(3x + 2)
-10 + 5x + (-3 * -6 + 2x * -6) = 13 + -8(3x + 2)
-10 + 5x + (18 + -12x) = 13 + -8(3x + 2)

Reorder the terms:
-10 + 18 + 5x + -12x = 13 + -8(3x + 2)

Combine like terms: -10 + 18 = 8
8 + 5x + -12x = 13 + -8(3x + 2)

Combine like terms: 5x + -12x = -7x
8 + -7x = 13 + -8(3x + 2)

Reorder the terms:
8 + -7x = 13 + -8(2 + 3x)
8 + -7x = 13 + (2 * -8 + 3x * -8)
8 + -7x = 13 + (-16 + -24x)

Combine like terms: 13 + -16 = -3
8 + -7x = -3 + -24x

Solving
8 + -7x = -3 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
8 + -7x + 24x = -3 + -24x + 24x

Combine like terms: -7x + 24x = 17x
8 + 17x = -3 + -24x + 24x

Combine like terms: -24x + 24x = 0
8 + 17x = -3 + 0
8 + 17x = -3

Add '-8' to each side of the equation.
8 + -8 + 17x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 17x = -3 + -8
17x = -3 + -8

Combine like terms: -3 + -8 = -11
17x = -11

Divide each side by '17'.
x = -0.6470588235

Simplifying
x = -0.6470588235

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