4x-12=2(x+3)-10

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Solution for 4x-12=2(x+3)-10 equation:


Simplifying
4x + -12 = 2(x + 3) + -10

Reorder the terms:
-12 + 4x = 2(x + 3) + -10

Reorder the terms:
-12 + 4x = 2(3 + x) + -10
-12 + 4x = (3 * 2 + x * 2) + -10
-12 + 4x = (6 + 2x) + -10

Reorder the terms:
-12 + 4x = 6 + -10 + 2x

Combine like terms: 6 + -10 = -4
-12 + 4x = -4 + 2x

Solving
-12 + 4x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 4x + -2x = -4 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-12 + 2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 2x = -4 + 0
-12 + 2x = -4

Add '12' to each side of the equation.
-12 + 12 + 2x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -4 + 12
2x = -4 + 12

Combine like terms: -4 + 12 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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