3x-3(2x-7)=4(3x+1)-13

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Solution for 3x-3(2x-7)=4(3x+1)-13 equation:


Simplifying
3x + -3(2x + -7) = 4(3x + 1) + -13

Reorder the terms:
3x + -3(-7 + 2x) = 4(3x + 1) + -13
3x + (-7 * -3 + 2x * -3) = 4(3x + 1) + -13
3x + (21 + -6x) = 4(3x + 1) + -13

Reorder the terms:
21 + 3x + -6x = 4(3x + 1) + -13

Combine like terms: 3x + -6x = -3x
21 + -3x = 4(3x + 1) + -13

Reorder the terms:
21 + -3x = 4(1 + 3x) + -13
21 + -3x = (1 * 4 + 3x * 4) + -13
21 + -3x = (4 + 12x) + -13

Reorder the terms:
21 + -3x = 4 + -13 + 12x

Combine like terms: 4 + -13 = -9
21 + -3x = -9 + 12x

Solving
21 + -3x = -9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
21 + -3x + -12x = -9 + 12x + -12x

Combine like terms: -3x + -12x = -15x
21 + -15x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -15x = -9 + 0
21 + -15x = -9

Add '-21' to each side of the equation.
21 + -21 + -15x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -15x = -9 + -21
-15x = -9 + -21

Combine like terms: -9 + -21 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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