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

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


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

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

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

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

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

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

Combine like terms: 12 + -12 = 0
0 + 8 + -2 + 12x + 2x = 7(x + -1) + 7(4x + -4)
8 + -2 + 12x + 2x = 7(x + -1) + 7(4x + -4)

Combine like terms: 8 + -2 = 6
6 + 12x + 2x = 7(x + -1) + 7(4x + -4)

Combine like terms: 12x + 2x = 14x
6 + 14x = 7(x + -1) + 7(4x + -4)

Reorder the terms:
6 + 14x = 7(-1 + x) + 7(4x + -4)
6 + 14x = (-1 * 7 + x * 7) + 7(4x + -4)
6 + 14x = (-7 + 7x) + 7(4x + -4)

Reorder the terms:
6 + 14x = -7 + 7x + 7(-4 + 4x)
6 + 14x = -7 + 7x + (-4 * 7 + 4x * 7)
6 + 14x = -7 + 7x + (-28 + 28x)

Reorder the terms:
6 + 14x = -7 + -28 + 7x + 28x

Combine like terms: -7 + -28 = -35
6 + 14x = -35 + 7x + 28x

Combine like terms: 7x + 28x = 35x
6 + 14x = -35 + 35x

Solving
6 + 14x = -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.
6 + 14x + -35x = -35 + 35x + -35x

Combine like terms: 14x + -35x = -21x
6 + -21x = -35 + 35x + -35x

Combine like terms: 35x + -35x = 0
6 + -21x = -35 + 0
6 + -21x = -35

Add '-6' to each side of the equation.
6 + -6 + -21x = -35 + -6

Combine like terms: 6 + -6 = 0
0 + -21x = -35 + -6
-21x = -35 + -6

Combine like terms: -35 + -6 = -41
-21x = -41

Divide each side by '-21'.
x = 1.952380952

Simplifying
x = 1.952380952

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