3x+10-7x=4-x-12

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Solution for 3x+10-7x=4-x-12 equation:


Simplifying
3x + 10 + -7x = 4 + -1x + -12

Reorder the terms:
10 + 3x + -7x = 4 + -1x + -12

Combine like terms: 3x + -7x = -4x
10 + -4x = 4 + -1x + -12

Reorder the terms:
10 + -4x = 4 + -12 + -1x

Combine like terms: 4 + -12 = -8
10 + -4x = -8 + -1x

Solving
10 + -4x = -8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -4x + x = -8 + -1x + x

Combine like terms: -4x + x = -3x
10 + -3x = -8 + -1x + x

Combine like terms: -1x + x = 0
10 + -3x = -8 + 0
10 + -3x = -8

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

Combine like terms: 10 + -10 = 0
0 + -3x = -8 + -10
-3x = -8 + -10

Combine like terms: -8 + -10 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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