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

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


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

Reorder the terms:
2(-1 + 4x) + 3(7 + -1) = 4x + 4
(-1 * 2 + 4x * 2) + 3(7 + -1) = 4x + 4
(-2 + 8x) + 3(7 + -1) = 4x + 4

Combine like terms: 7 + -1 = 6
-2 + 8x + 3(6) = 4x + 4

Multiply 3 * 6
-2 + 8x + 18 = 4x + 4

Reorder the terms:
-2 + 18 + 8x = 4x + 4

Combine like terms: -2 + 18 = 16
16 + 8x = 4x + 4

Reorder the terms:
16 + 8x = 4 + 4x

Solving
16 + 8x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 8x + -4x = 4 + 4x + -4x

Combine like terms: 8x + -4x = 4x
16 + 4x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 4x = 4 + 0
16 + 4x = 4

Add '-16' to each side of the equation.
16 + -16 + 4x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 4 + -16
4x = 4 + -16

Combine like terms: 4 + -16 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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