3(7x-4)+4(6-2x)=3(4x+2)-5

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Solution for 3(7x-4)+4(6-2x)=3(4x+2)-5 equation:


Simplifying
3(7x + -4) + 4(6 + -2x) = 3(4x + 2) + -5

Reorder the terms:
3(-4 + 7x) + 4(6 + -2x) = 3(4x + 2) + -5
(-4 * 3 + 7x * 3) + 4(6 + -2x) = 3(4x + 2) + -5
(-12 + 21x) + 4(6 + -2x) = 3(4x + 2) + -5
-12 + 21x + (6 * 4 + -2x * 4) = 3(4x + 2) + -5
-12 + 21x + (24 + -8x) = 3(4x + 2) + -5

Reorder the terms:
-12 + 24 + 21x + -8x = 3(4x + 2) + -5

Combine like terms: -12 + 24 = 12
12 + 21x + -8x = 3(4x + 2) + -5

Combine like terms: 21x + -8x = 13x
12 + 13x = 3(4x + 2) + -5

Reorder the terms:
12 + 13x = 3(2 + 4x) + -5
12 + 13x = (2 * 3 + 4x * 3) + -5
12 + 13x = (6 + 12x) + -5

Reorder the terms:
12 + 13x = 6 + -5 + 12x

Combine like terms: 6 + -5 = 1
12 + 13x = 1 + 12x

Solving
12 + 13x = 1 + 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.
12 + 13x + -12x = 1 + 12x + -12x

Combine like terms: 13x + -12x = 1x
12 + 1x = 1 + 12x + -12x

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

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

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

Combine like terms: 1 + -12 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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