12-3(2x-3)=4x-13

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Solution for 12-3(2x-3)=4x-13 equation:


Simplifying
12 + -3(2x + -3) = 4x + -13

Reorder the terms:
12 + -3(-3 + 2x) = 4x + -13
12 + (-3 * -3 + 2x * -3) = 4x + -13
12 + (9 + -6x) = 4x + -13

Combine like terms: 12 + 9 = 21
21 + -6x = 4x + -13

Reorder the terms:
21 + -6x = -13 + 4x

Solving
21 + -6x = -13 + 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.
21 + -6x + -4x = -13 + 4x + -4x

Combine like terms: -6x + -4x = -10x
21 + -10x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -10x = -13 + 0
21 + -10x = -13

Add '-21' to each side of the equation.
21 + -21 + -10x = -13 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = -13 + -21
-10x = -13 + -21

Combine like terms: -13 + -21 = -34
-10x = -34

Divide each side by '-10'.
x = 3.4

Simplifying
x = 3.4

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