-3(x-4)=x-7

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


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

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

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

Solving
12 + -3x = -7 + 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.
12 + -3x + -1x = -7 + x + -1x

Combine like terms: -3x + -1x = -4x
12 + -4x = -7 + x + -1x

Combine like terms: x + -1x = 0
12 + -4x = -7 + 0
12 + -4x = -7

Add '-12' to each side of the equation.
12 + -12 + -4x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -7 + -12
-4x = -7 + -12

Combine like terms: -7 + -12 = -19
-4x = -19

Divide each side by '-4'.
x = 4.75

Simplifying
x = 4.75

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