-2(-3x-5)+8=5(6x)-7(x+1)

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Solution for -2(-3x-5)+8=5(6x)-7(x+1) equation:


Simplifying
-2(-3x + -5) + 8 = 5(6x) + -7(x + 1)

Reorder the terms:
-2(-5 + -3x) + 8 = 5(6x) + -7(x + 1)
(-5 * -2 + -3x * -2) + 8 = 5(6x) + -7(x + 1)
(10 + 6x) + 8 = 5(6x) + -7(x + 1)

Reorder the terms:
10 + 8 + 6x = 5(6x) + -7(x + 1)

Combine like terms: 10 + 8 = 18
18 + 6x = 5(6x) + -7(x + 1)

Remove parenthesis around (6x)
18 + 6x = 5 * 6x + -7(x + 1)

Multiply 5 * 6
18 + 6x = 30x + -7(x + 1)

Reorder the terms:
18 + 6x = 30x + -7(1 + x)
18 + 6x = 30x + (1 * -7 + x * -7)
18 + 6x = 30x + (-7 + -7x)

Reorder the terms:
18 + 6x = -7 + 30x + -7x

Combine like terms: 30x + -7x = 23x
18 + 6x = -7 + 23x

Solving
18 + 6x = -7 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
18 + 6x + -23x = -7 + 23x + -23x

Combine like terms: 6x + -23x = -17x
18 + -17x = -7 + 23x + -23x

Combine like terms: 23x + -23x = 0
18 + -17x = -7 + 0
18 + -17x = -7

Add '-18' to each side of the equation.
18 + -18 + -17x = -7 + -18

Combine like terms: 18 + -18 = 0
0 + -17x = -7 + -18
-17x = -7 + -18

Combine like terms: -7 + -18 = -25
-17x = -25

Divide each side by '-17'.
x = 1.470588235

Simplifying
x = 1.470588235

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