12(3x+10)=32x+10

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Solution for 12(3x+10)=32x+10 equation:


Simplifying
12(3x + 10) = 32x + 10

Reorder the terms:
12(10 + 3x) = 32x + 10
(10 * 12 + 3x * 12) = 32x + 10
(120 + 36x) = 32x + 10

Reorder the terms:
120 + 36x = 10 + 32x

Solving
120 + 36x = 10 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
120 + 36x + -32x = 10 + 32x + -32x

Combine like terms: 36x + -32x = 4x
120 + 4x = 10 + 32x + -32x

Combine like terms: 32x + -32x = 0
120 + 4x = 10 + 0
120 + 4x = 10

Add '-120' to each side of the equation.
120 + -120 + 4x = 10 + -120

Combine like terms: 120 + -120 = 0
0 + 4x = 10 + -120
4x = 10 + -120

Combine like terms: 10 + -120 = -110
4x = -110

Divide each side by '4'.
x = -27.5

Simplifying
x = -27.5

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