5(8x-1)-3=33-x

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Solution for 5(8x-1)-3=33-x equation:


Simplifying
5(8x + -1) + -3 = 33 + -1x

Reorder the terms:
5(-1 + 8x) + -3 = 33 + -1x
(-1 * 5 + 8x * 5) + -3 = 33 + -1x
(-5 + 40x) + -3 = 33 + -1x

Reorder the terms:
-5 + -3 + 40x = 33 + -1x

Combine like terms: -5 + -3 = -8
-8 + 40x = 33 + -1x

Solving
-8 + 40x = 33 + -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.
-8 + 40x + x = 33 + -1x + x

Combine like terms: 40x + x = 41x
-8 + 41x = 33 + -1x + x

Combine like terms: -1x + x = 0
-8 + 41x = 33 + 0
-8 + 41x = 33

Add '8' to each side of the equation.
-8 + 8 + 41x = 33 + 8

Combine like terms: -8 + 8 = 0
0 + 41x = 33 + 8
41x = 33 + 8

Combine like terms: 33 + 8 = 41
41x = 41

Divide each side by '41'.
x = 1

Simplifying
x = 1

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