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

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


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

Reorder the terms:
7(-7 + x) + 12 = 3(x + -7)
(-7 * 7 + x * 7) + 12 = 3(x + -7)
(-49 + 7x) + 12 = 3(x + -7)

Reorder the terms:
-49 + 12 + 7x = 3(x + -7)

Combine like terms: -49 + 12 = -37
-37 + 7x = 3(x + -7)

Reorder the terms:
-37 + 7x = 3(-7 + x)
-37 + 7x = (-7 * 3 + x * 3)
-37 + 7x = (-21 + 3x)

Solving
-37 + 7x = -21 + 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.
-37 + 7x + -3x = -21 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-37 + 4x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-37 + 4x = -21 + 0
-37 + 4x = -21

Add '37' to each side of the equation.
-37 + 37 + 4x = -21 + 37

Combine like terms: -37 + 37 = 0
0 + 4x = -21 + 37
4x = -21 + 37

Combine like terms: -21 + 37 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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