10(2x+4)=-1(-8+9x)+3x

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Solution for 10(2x+4)=-1(-8+9x)+3x equation: 


Simplifying
10(2x + 4) = -1(-8 + 9x) + 3x

Reorder the terms:
10(4 + 2x) = -1(-8 + 9x) + 3x
(4 * 10 + 2x * 10) = -1(-8 + 9x) + 3x
(40 + 20x) = -1(-8 + 9x) + 3x
40 + 20x = (-8 * -1 + 9x * -1) + 3x
40 + 20x = (8 + -9x) + 3x

Combine like terms: -9x + 3x = -6x
40 + 20x = 8 + -6x

Solving
40 + 20x = 8 + -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.
40 + 20x + 6x = 8 + -6x + 6x

Combine like terms: 20x + 6x = 26x
40 + 26x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
40 + 26x = 8 + 0
40 + 26x = 8

Add '-40' to each side of the equation.
40 + -40 + 26x = 8 + -40

Combine like terms: 40 + -40 = 0
0 + 26x = 8 + -40
26x = 8 + -40

Combine like terms: 8 + -40 = -32
26x = -32

Divide each side by '26'.
x = -1.230769231

Simplifying
x = -1.230769231

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