-5(3x-1)+5x=9+2(4x-5)

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Solution for -5(3x-1)+5x=9+2(4x-5) equation:


Simplifying
-5(3x + -1) + 5x = 9 + 2(4x + -5)

Reorder the terms:
-5(-1 + 3x) + 5x = 9 + 2(4x + -5)
(-1 * -5 + 3x * -5) + 5x = 9 + 2(4x + -5)
(5 + -15x) + 5x = 9 + 2(4x + -5)

Combine like terms: -15x + 5x = -10x
5 + -10x = 9 + 2(4x + -5)

Reorder the terms:
5 + -10x = 9 + 2(-5 + 4x)
5 + -10x = 9 + (-5 * 2 + 4x * 2)
5 + -10x = 9 + (-10 + 8x)

Combine like terms: 9 + -10 = -1
5 + -10x = -1 + 8x

Solving
5 + -10x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + -10x + -8x = -1 + 8x + -8x

Combine like terms: -10x + -8x = -18x
5 + -18x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -18x = -1 + 0
5 + -18x = -1

Add '-5' to each side of the equation.
5 + -5 + -18x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -18x = -1 + -5
-18x = -1 + -5

Combine like terms: -1 + -5 = -6
-18x = -6

Divide each side by '-18'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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