-4(x-3)=3x+6

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Solution for -4(x-3)=3x+6 equation:


Simplifying
-4(x + -3) = 3x + 6

Reorder the terms:
-4(-3 + x) = 3x + 6
(-3 * -4 + x * -4) = 3x + 6
(12 + -4x) = 3x + 6

Reorder the terms:
12 + -4x = 6 + 3x

Solving
12 + -4x = 6 + 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.
12 + -4x + -3x = 6 + 3x + -3x

Combine like terms: -4x + -3x = -7x
12 + -7x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -7x = 6 + 0
12 + -7x = 6

Add '-12' to each side of the equation.
12 + -12 + -7x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 6 + -12
-7x = 6 + -12

Combine like terms: 6 + -12 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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