7(x-1)-12=3(x+3)

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Solution for 7(x-1)-12=3(x+3) equation:


Simplifying
7(x + -1) + -12 = 3(x + 3)

Reorder the terms:
7(-1 + x) + -12 = 3(x + 3)
(-1 * 7 + x * 7) + -12 = 3(x + 3)
(-7 + 7x) + -12 = 3(x + 3)

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

Combine like terms: -7 + -12 = -19
-19 + 7x = 3(x + 3)

Reorder the terms:
-19 + 7x = 3(3 + x)
-19 + 7x = (3 * 3 + x * 3)
-19 + 7x = (9 + 3x)

Solving
-19 + 7x = 9 + 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.
-19 + 7x + -3x = 9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-19 + 4x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + 4x = 9 + 0
-19 + 4x = 9

Add '19' to each side of the equation.
-19 + 19 + 4x = 9 + 19

Combine like terms: -19 + 19 = 0
0 + 4x = 9 + 19
4x = 9 + 19

Combine like terms: 9 + 19 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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