3x+12=8x-10

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Solution for 3x+12=8x-10 equation:


Simplifying
3x + 12 = 8x + -10

Reorder the terms:
12 + 3x = 8x + -10

Reorder the terms:
12 + 3x = -10 + 8x

Solving
12 + 3x = -10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 3x + -8x = -10 + 8x + -8x

Combine like terms: 3x + -8x = -5x
12 + -5x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -5x = -10 + 0
12 + -5x = -10

Add '-12' to each side of the equation.
12 + -12 + -5x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -10 + -12
-5x = -10 + -12

Combine like terms: -10 + -12 = -22
-5x = -22

Divide each side by '-5'.
x = 4.4

Simplifying
x = 4.4

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