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

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


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

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

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

Reorder the terms:
7 + 4x = 3(-4 + x)
7 + 4x = (-4 * 3 + x * 3)
7 + 4x = (-12 + 3x)

Solving
7 + 4x = -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.
7 + 4x + -3x = -12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + 1x = -12 + 0
7 + 1x = -12

Add '-7' to each side of the equation.
7 + -7 + 1x = -12 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -12 + -7
1x = -12 + -7

Combine like terms: -12 + -7 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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