7(3x-1)-4(3x-4)=2(4x+4)-6

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Solution for 7(3x-1)-4(3x-4)=2(4x+4)-6 equation:


Simplifying
7(3x + -1) + -4(3x + -4) = 2(4x + 4) + -6

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

Reorder the terms:
-7 + 21x + -4(-4 + 3x) = 2(4x + 4) + -6
-7 + 21x + (-4 * -4 + 3x * -4) = 2(4x + 4) + -6
-7 + 21x + (16 + -12x) = 2(4x + 4) + -6

Reorder the terms:
-7 + 16 + 21x + -12x = 2(4x + 4) + -6

Combine like terms: -7 + 16 = 9
9 + 21x + -12x = 2(4x + 4) + -6

Combine like terms: 21x + -12x = 9x
9 + 9x = 2(4x + 4) + -6

Reorder the terms:
9 + 9x = 2(4 + 4x) + -6
9 + 9x = (4 * 2 + 4x * 2) + -6
9 + 9x = (8 + 8x) + -6

Reorder the terms:
9 + 9x = 8 + -6 + 8x

Combine like terms: 8 + -6 = 2
9 + 9x = 2 + 8x

Solving
9 + 9x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + 9x + -8x = 2 + 8x + -8x

Combine like terms: 9x + -8x = 1x
9 + 1x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + 1x = 2 + 0
9 + 1x = 2

Add '-9' to each side of the equation.
9 + -9 + 1x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 2 + -9
1x = 2 + -9

Combine like terms: 2 + -9 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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