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

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


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

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

Reorder the terms:
12 + -7 + 3x = x + -3

Combine like terms: 12 + -7 = 5
5 + 3x = x + -3

Reorder the terms:
5 + 3x = -3 + x

Solving
5 + 3x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 3x + -1x = -3 + x + -1x

Combine like terms: 3x + -1x = 2x
5 + 2x = -3 + x + -1x

Combine like terms: x + -1x = 0
5 + 2x = -3 + 0
5 + 2x = -3

Add '-5' to each side of the equation.
5 + -5 + 2x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = -3 + -5
2x = -3 + -5

Combine like terms: -3 + -5 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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