7(5x-4)-1=14-8x

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Solution for 7(5x-4)-1=14-8x equation:


Simplifying
7(5x + -4) + -1 = 14 + -8x

Reorder the terms:
7(-4 + 5x) + -1 = 14 + -8x
(-4 * 7 + 5x * 7) + -1 = 14 + -8x
(-28 + 35x) + -1 = 14 + -8x

Reorder the terms:
-28 + -1 + 35x = 14 + -8x

Combine like terms: -28 + -1 = -29
-29 + 35x = 14 + -8x

Solving
-29 + 35x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-29 + 35x + 8x = 14 + -8x + 8x

Combine like terms: 35x + 8x = 43x
-29 + 43x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
-29 + 43x = 14 + 0
-29 + 43x = 14

Add '29' to each side of the equation.
-29 + 29 + 43x = 14 + 29

Combine like terms: -29 + 29 = 0
0 + 43x = 14 + 29
43x = 14 + 29

Combine like terms: 14 + 29 = 43
43x = 43

Divide each side by '43'.
x = 1

Simplifying
x = 1

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