4(x-7)-12=x-21

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Solution for 4(x-7)-12=x-21 equation:


Simplifying
4(x + -7) + -12 = x + -21

Reorder the terms:
4(-7 + x) + -12 = x + -21
(-7 * 4 + x * 4) + -12 = x + -21
(-28 + 4x) + -12 = x + -21

Reorder the terms:
-28 + -12 + 4x = x + -21

Combine like terms: -28 + -12 = -40
-40 + 4x = x + -21

Reorder the terms:
-40 + 4x = -21 + x

Solving
-40 + 4x = -21 + 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.
-40 + 4x + -1x = -21 + x + -1x

Combine like terms: 4x + -1x = 3x
-40 + 3x = -21 + x + -1x

Combine like terms: x + -1x = 0
-40 + 3x = -21 + 0
-40 + 3x = -21

Add '40' to each side of the equation.
-40 + 40 + 3x = -21 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = -21 + 40
3x = -21 + 40

Combine like terms: -21 + 40 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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