x-7=3(x-12)

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


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

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

Reorder the terms:
-7 + x = 3(-12 + x)
-7 + x = (-12 * 3 + x * 3)
-7 + x = (-36 + 3x)

Solving
-7 + x = -36 + 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 + x + -3x = -36 + 3x + -3x

Combine like terms: x + -3x = -2x
-7 + -2x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + -2x = -36 + 0
-7 + -2x = -36

Add '7' to each side of the equation.
-7 + 7 + -2x = -36 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -36 + 7
-2x = -36 + 7

Combine like terms: -36 + 7 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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