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

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


Simplifying
7x + -2(3x + 4) = 3(x + -4)

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

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

Combine like terms: 7x + -6x = 1x
-8 + 1x = 3(x + -4)

Reorder the terms:
-8 + 1x = 3(-4 + x)
-8 + 1x = (-4 * 3 + x * 3)
-8 + 1x = (-12 + 3x)

Solving
-8 + 1x = -12 + 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.
-8 + 1x + -3x = -12 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-8 + -2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -2x = -12 + 0
-8 + -2x = -12

Add '8' to each side of the equation.
-8 + 8 + -2x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -12 + 8
-2x = -12 + 8

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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