3(2x-3)-4(x-1)=12

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Solution for 3(2x-3)-4(x-1)=12 equation:


Simplifying
3(2x + -3) + -4(x + -1) = 12

Reorder the terms:
3(-3 + 2x) + -4(x + -1) = 12
(-3 * 3 + 2x * 3) + -4(x + -1) = 12
(-9 + 6x) + -4(x + -1) = 12

Reorder the terms:
-9 + 6x + -4(-1 + x) = 12
-9 + 6x + (-1 * -4 + x * -4) = 12
-9 + 6x + (4 + -4x) = 12

Reorder the terms:
-9 + 4 + 6x + -4x = 12

Combine like terms: -9 + 4 = -5
-5 + 6x + -4x = 12

Combine like terms: 6x + -4x = 2x
-5 + 2x = 12

Solving
-5 + 2x = 12

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 12 + 5
2x = 12 + 5

Combine like terms: 12 + 5 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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