9(5x+10)=10x-(-8+6x)

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Solution for 9(5x+10)=10x-(-8+6x) equation:


Simplifying
9(5x + 10) = 10x + -1(-8 + 6x)

Reorder the terms:
9(10 + 5x) = 10x + -1(-8 + 6x)
(10 * 9 + 5x * 9) = 10x + -1(-8 + 6x)
(90 + 45x) = 10x + -1(-8 + 6x)
90 + 45x = 10x + (-8 * -1 + 6x * -1)
90 + 45x = 10x + (8 + -6x)

Reorder the terms:
90 + 45x = 8 + 10x + -6x

Combine like terms: 10x + -6x = 4x
90 + 45x = 8 + 4x

Solving
90 + 45x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
90 + 45x + -4x = 8 + 4x + -4x

Combine like terms: 45x + -4x = 41x
90 + 41x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
90 + 41x = 8 + 0
90 + 41x = 8

Add '-90' to each side of the equation.
90 + -90 + 41x = 8 + -90

Combine like terms: 90 + -90 = 0
0 + 41x = 8 + -90
41x = 8 + -90

Combine like terms: 8 + -90 = -82
41x = -82

Divide each side by '41'.
x = -2

Simplifying
x = -2

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