7(x+3)-3x+12=6(x+4)-3x+4

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Solution for 7(x+3)-3x+12=6(x+4)-3x+4 equation:


Simplifying
7(x + 3) + -3x + 12 = 6(x + 4) + -3x + 4

Reorder the terms:
7(3 + x) + -3x + 12 = 6(x + 4) + -3x + 4
(3 * 7 + x * 7) + -3x + 12 = 6(x + 4) + -3x + 4
(21 + 7x) + -3x + 12 = 6(x + 4) + -3x + 4

Reorder the terms:
21 + 12 + 7x + -3x = 6(x + 4) + -3x + 4

Combine like terms: 21 + 12 = 33
33 + 7x + -3x = 6(x + 4) + -3x + 4

Combine like terms: 7x + -3x = 4x
33 + 4x = 6(x + 4) + -3x + 4

Reorder the terms:
33 + 4x = 6(4 + x) + -3x + 4
33 + 4x = (4 * 6 + x * 6) + -3x + 4
33 + 4x = (24 + 6x) + -3x + 4

Reorder the terms:
33 + 4x = 24 + 4 + 6x + -3x

Combine like terms: 24 + 4 = 28
33 + 4x = 28 + 6x + -3x

Combine like terms: 6x + -3x = 3x
33 + 4x = 28 + 3x

Solving
33 + 4x = 28 + 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.
33 + 4x + -3x = 28 + 3x + -3x

Combine like terms: 4x + -3x = 1x
33 + 1x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + 1x = 28 + 0
33 + 1x = 28

Add '-33' to each side of the equation.
33 + -33 + 1x = 28 + -33

Combine like terms: 33 + -33 = 0
0 + 1x = 28 + -33
1x = 28 + -33

Combine like terms: 28 + -33 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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