4(x+5)+8=5x+21

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Solution for 4(x+5)+8=5x+21 equation:


Simplifying
4(x + 5) + 8 = 5x + 21

Reorder the terms:
4(5 + x) + 8 = 5x + 21
(5 * 4 + x * 4) + 8 = 5x + 21
(20 + 4x) + 8 = 5x + 21

Reorder the terms:
20 + 8 + 4x = 5x + 21

Combine like terms: 20 + 8 = 28
28 + 4x = 5x + 21

Reorder the terms:
28 + 4x = 21 + 5x

Solving
28 + 4x = 21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
28 + 4x + -5x = 21 + 5x + -5x

Combine like terms: 4x + -5x = -1x
28 + -1x = 21 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + -1x = 21 + 0
28 + -1x = 21

Add '-28' to each side of the equation.
28 + -28 + -1x = 21 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 21 + -28
-1x = 21 + -28

Combine like terms: 21 + -28 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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