3(x-3)+2x-3=4x-8

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Solution for 3(x-3)+2x-3=4x-8 equation:


Simplifying
3(x + -3) + 2x + -3 = 4x + -8

Reorder the terms:
3(-3 + x) + 2x + -3 = 4x + -8
(-3 * 3 + x * 3) + 2x + -3 = 4x + -8
(-9 + 3x) + 2x + -3 = 4x + -8

Reorder the terms:
-9 + -3 + 3x + 2x = 4x + -8

Combine like terms: -9 + -3 = -12
-12 + 3x + 2x = 4x + -8

Combine like terms: 3x + 2x = 5x
-12 + 5x = 4x + -8

Reorder the terms:
-12 + 5x = -8 + 4x

Solving
-12 + 5x = -8 + 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.
-12 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-12 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 1x = -8 + 0
-12 + 1x = -8

Add '12' to each side of the equation.
-12 + 12 + 1x = -8 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -8 + 12
1x = -8 + 12

Combine like terms: -8 + 12 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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