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

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


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

Multiply 3 * 4
12 + 3(4x + -4) + 2(4) + 2(4x + -4) = 7(x + -1) + 7(4x + -4)

Reorder the terms:
12 + 3(-4 + 4x) + 2(4) + 2(4x + -4) = 7(x + -1) + 7(4x + -4)
12 + (-4 * 3 + 4x * 3) + 2(4) + 2(4x + -4) = 7(x + -1) + 7(4x + -4)
12 + (-12 + 12x) + 2(4) + 2(4x + -4) = 7(x + -1) + 7(4x + -4)

Multiply 2 * 4
12 + -12 + 12x + 8 + 2(4x + -4) = 7(x + -1) + 7(4x + -4)

Reorder the terms:
12 + -12 + 12x + 8 + 2(-4 + 4x) = 7(x + -1) + 7(4x + -4)
12 + -12 + 12x + 8 + (-4 * 2 + 4x * 2) = 7(x + -1) + 7(4x + -4)
12 + -12 + 12x + 8 + (-8 + 8x) = 7(x + -1) + 7(4x + -4)

Reorder the terms:
12 + -12 + 8 + -8 + 12x + 8x = 7(x + -1) + 7(4x + -4)

Combine like terms: 12 + -12 = 0
0 + 8 + -8 + 12x + 8x = 7(x + -1) + 7(4x + -4)
8 + -8 + 12x + 8x = 7(x + -1) + 7(4x + -4)

Combine like terms: 8 + -8 = 0
0 + 12x + 8x = 7(x + -1) + 7(4x + -4)
12x + 8x = 7(x + -1) + 7(4x + -4)

Combine like terms: 12x + 8x = 20x
20x = 7(x + -1) + 7(4x + -4)

Reorder the terms:
20x = 7(-1 + x) + 7(4x + -4)
20x = (-1 * 7 + x * 7) + 7(4x + -4)
20x = (-7 + 7x) + 7(4x + -4)

Reorder the terms:
20x = -7 + 7x + 7(-4 + 4x)
20x = -7 + 7x + (-4 * 7 + 4x * 7)
20x = -7 + 7x + (-28 + 28x)

Reorder the terms:
20x = -7 + -28 + 7x + 28x

Combine like terms: -7 + -28 = -35
20x = -35 + 7x + 28x

Combine like terms: 7x + 28x = 35x
20x = -35 + 35x

Solving
20x = -35 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
20x + -35x = -35 + 35x + -35x

Combine like terms: 20x + -35x = -15x
-15x = -35 + 35x + -35x

Combine like terms: 35x + -35x = 0
-15x = -35 + 0
-15x = -35

Divide each side by '-15'.
x = 2.333333333

Simplifying
x = 2.333333333

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