3(4x-7)=8-x

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Solution for 3(4x-7)=8-x equation:


Simplifying
3(4x + -7) = 8 + -1x

Reorder the terms:
3(-7 + 4x) = 8 + -1x
(-7 * 3 + 4x * 3) = 8 + -1x
(-21 + 12x) = 8 + -1x

Solving
-21 + 12x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-21 + 12x + x = 8 + -1x + x

Combine like terms: 12x + x = 13x
-21 + 13x = 8 + -1x + x

Combine like terms: -1x + x = 0
-21 + 13x = 8 + 0
-21 + 13x = 8

Add '21' to each side of the equation.
-21 + 21 + 13x = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 13x = 8 + 21
13x = 8 + 21

Combine like terms: 8 + 21 = 29
13x = 29

Divide each side by '13'.
x = 2.230769231

Simplifying
x = 2.230769231

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