10-15(x-1)=12(x+5)+90

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Solution for 10-15(x-1)=12(x+5)+90 equation: 


Simplifying
10 + -15(x + -1) = 12(x + 5) + 90

Reorder the terms:
10 + -15(-1 + x) = 12(x + 5) + 90
10 + (-1 * -15 + x * -15) = 12(x + 5) + 90
10 + (15 + -15x) = 12(x + 5) + 90

Combine like terms: 10 + 15 = 25
25 + -15x = 12(x + 5) + 90

Reorder the terms:
25 + -15x = 12(5 + x) + 90
25 + -15x = (5 * 12 + x * 12) + 90
25 + -15x = (60 + 12x) + 90

Reorder the terms:
25 + -15x = 60 + 90 + 12x

Combine like terms: 60 + 90 = 150
25 + -15x = 150 + 12x

Solving
25 + -15x = 150 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
25 + -15x + -12x = 150 + 12x + -12x

Combine like terms: -15x + -12x = -27x
25 + -27x = 150 + 12x + -12x

Combine like terms: 12x + -12x = 0
25 + -27x = 150 + 0
25 + -27x = 150

Add '-25' to each side of the equation.
25 + -25 + -27x = 150 + -25

Combine like terms: 25 + -25 = 0
0 + -27x = 150 + -25
-27x = 150 + -25

Combine like terms: 150 + -25 = 125
-27x = 125

Divide each side by '-27'.
x = -4.62962963

Simplifying
x = -4.62962963

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