3-4(x-3)=3x-12

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Solution for 3-4(x-3)=3x-12 equation:


Simplifying
3 + -4(x + -3) = 3x + -12

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

Combine like terms: 3 + 12 = 15
15 + -4x = 3x + -12

Reorder the terms:
15 + -4x = -12 + 3x

Solving
15 + -4x = -12 + 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.
15 + -4x + -3x = -12 + 3x + -3x

Combine like terms: -4x + -3x = -7x
15 + -7x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -7x = -12 + 0
15 + -7x = -12

Add '-15' to each side of the equation.
15 + -15 + -7x = -12 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -12 + -15
-7x = -12 + -15

Combine like terms: -12 + -15 = -27
-7x = -27

Divide each side by '-7'.
x = 3.857142857

Simplifying
x = 3.857142857

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