12(x-10)=5(x+11)

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Solution for 12(x-10)=5(x+11) equation:


Simplifying
12(x + -10) = 5(x + 11)

Reorder the terms:
12(-10 + x) = 5(x + 11)
(-10 * 12 + x * 12) = 5(x + 11)
(-120 + 12x) = 5(x + 11)

Reorder the terms:
-120 + 12x = 5(11 + x)
-120 + 12x = (11 * 5 + x * 5)
-120 + 12x = (55 + 5x)

Solving
-120 + 12x = 55 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-120 + 12x + -5x = 55 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-120 + 7x = 55 + 5x + -5x

Combine like terms: 5x + -5x = 0
-120 + 7x = 55 + 0
-120 + 7x = 55

Add '120' to each side of the equation.
-120 + 120 + 7x = 55 + 120

Combine like terms: -120 + 120 = 0
0 + 7x = 55 + 120
7x = 55 + 120

Combine like terms: 55 + 120 = 175
7x = 175

Divide each side by '7'.
x = 25

Simplifying
x = 25

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