4(8+2x)+7(x-8)=21

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Solution for 4(8+2x)+7(x-8)=21 equation: 


Simplifying
4(8 + 2x) + 7(x + -8) = 21
(8 * 4 + 2x * 4) + 7(x + -8) = 21
(32 + 8x) + 7(x + -8) = 21

Reorder the terms:
32 + 8x + 7(-8 + x) = 21
32 + 8x + (-8 * 7 + x * 7) = 21
32 + 8x + (-56 + 7x) = 21

Reorder the terms:
32 + -56 + 8x + 7x = 21

Combine like terms: 32 + -56 = -24
-24 + 8x + 7x = 21

Combine like terms: 8x + 7x = 15x
-24 + 15x = 21

Solving
-24 + 15x = 21

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 15x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 21 + 24
15x = 21 + 24

Combine like terms: 21 + 24 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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