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

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


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

Reorder the terms:
4x + 3(-3 + x) = 3x + x + -12
4x + (-3 * 3 + x * 3) = 3x + x + -12
4x + (-9 + 3x) = 3x + x + -12

Reorder the terms:
-9 + 4x + 3x = 3x + x + -12

Combine like terms: 4x + 3x = 7x
-9 + 7x = 3x + x + -12

Reorder the terms:
-9 + 7x = -12 + 3x + x

Combine like terms: 3x + x = 4x
-9 + 7x = -12 + 4x

Solving
-9 + 7x = -12 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-9 + 7x + -4x = -12 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-9 + 3x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 3x = -12 + 0
-9 + 3x = -12

Add '9' to each side of the equation.
-9 + 9 + 3x = -12 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = -12 + 9
3x = -12 + 9

Combine like terms: -12 + 9 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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