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

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


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

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

Combine like terms: 7 + 4 = 11
11 + -8x = 3 + 4(4 + -1x)
11 + -8x = 3 + (4 * 4 + -1x * 4)
11 + -8x = 3 + (16 + -4x)

Combine like terms: 3 + 16 = 19
11 + -8x = 19 + -4x

Solving
11 + -8x = 19 + -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.
11 + -8x + 4x = 19 + -4x + 4x

Combine like terms: -8x + 4x = -4x
11 + -4x = 19 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + -4x = 19 + 0
11 + -4x = 19

Add '-11' to each side of the equation.
11 + -11 + -4x = 19 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 19 + -11
-4x = 19 + -11

Combine like terms: 19 + -11 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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