3(x+2)-(4x-6)=7x+8-4x

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Solution for 3(x+2)-(4x-6)=7x+8-4x equation:


Simplifying
3(x + 2) + -1(4x + -6) = 7x + 8 + -4x

Reorder the terms:
3(2 + x) + -1(4x + -6) = 7x + 8 + -4x
(2 * 3 + x * 3) + -1(4x + -6) = 7x + 8 + -4x
(6 + 3x) + -1(4x + -6) = 7x + 8 + -4x

Reorder the terms:
6 + 3x + -1(-6 + 4x) = 7x + 8 + -4x
6 + 3x + (-6 * -1 + 4x * -1) = 7x + 8 + -4x
6 + 3x + (6 + -4x) = 7x + 8 + -4x

Reorder the terms:
6 + 6 + 3x + -4x = 7x + 8 + -4x

Combine like terms: 6 + 6 = 12
12 + 3x + -4x = 7x + 8 + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = 7x + 8 + -4x

Reorder the terms:
12 + -1x = 8 + 7x + -4x

Combine like terms: 7x + -4x = 3x
12 + -1x = 8 + 3x

Solving
12 + -1x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -1x + -3x = 8 + 3x + -3x

Combine like terms: -1x + -3x = -4x
12 + -4x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -4x = 8 + 0
12 + -4x = 8

Add '-12' to each side of the equation.
12 + -12 + -4x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 8 + -12
-4x = 8 + -12

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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