5x-21=8(-3x+1)

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Solution for 5x-21=8(-3x+1) equation:


Simplifying
5x + -21 = 8(-3x + 1)

Reorder the terms:
-21 + 5x = 8(-3x + 1)

Reorder the terms:
-21 + 5x = 8(1 + -3x)
-21 + 5x = (1 * 8 + -3x * 8)
-21 + 5x = (8 + -24x)

Solving
-21 + 5x = 8 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-21 + 5x + 24x = 8 + -24x + 24x

Combine like terms: 5x + 24x = 29x
-21 + 29x = 8 + -24x + 24x

Combine like terms: -24x + 24x = 0
-21 + 29x = 8 + 0
-21 + 29x = 8

Add '21' to each side of the equation.
-21 + 21 + 29x = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 29x = 8 + 21
29x = 8 + 21

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

Divide each side by '29'.
x = 1

Simplifying
x = 1

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