(13x-5)*5=(3+8x)*8-21

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Solution for (13x-5)*5=(3+8x)*8-21 equation:


Simplifying
(13x + -5) * 5 = (3 + 8x) * 8 + -21

Reorder the terms:
(-5 + 13x) * 5 = (3 + 8x) * 8 + -21

Reorder the terms for easier multiplication:
5(-5 + 13x) = (3 + 8x) * 8 + -21
(-5 * 5 + 13x * 5) = (3 + 8x) * 8 + -21
(-25 + 65x) = (3 + 8x) * 8 + -21

Reorder the terms for easier multiplication:
-25 + 65x = 8(3 + 8x) + -21
-25 + 65x = (3 * 8 + 8x * 8) + -21
-25 + 65x = (24 + 64x) + -21

Reorder the terms:
-25 + 65x = 24 + -21 + 64x

Combine like terms: 24 + -21 = 3
-25 + 65x = 3 + 64x

Solving
-25 + 65x = 3 + 64x

Solving for variable 'x'.

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

Add '-64x' to each side of the equation.
-25 + 65x + -64x = 3 + 64x + -64x

Combine like terms: 65x + -64x = 1x
-25 + 1x = 3 + 64x + -64x

Combine like terms: 64x + -64x = 0
-25 + 1x = 3 + 0
-25 + 1x = 3

Add '25' to each side of the equation.
-25 + 25 + 1x = 3 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = 3 + 25
1x = 3 + 25

Combine like terms: 3 + 25 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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