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

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


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

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

Reorder the terms:
-8 + -3 + 2x = 7 + -4x

Combine like terms: -8 + -3 = -11
-11 + 2x = 7 + -4x

Solving
-11 + 2x = 7 + -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 + 2x + 4x = 7 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-11 + 6x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 6x = 7 + 0
-11 + 6x = 7

Add '11' to each side of the equation.
-11 + 11 + 6x = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 7 + 11
6x = 7 + 11

Combine like terms: 7 + 11 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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