5(x+3)=8(10-x)

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Solution for 5(x+3)=8(10-x) equation:


Simplifying
5(x + 3) = 8(10 + -1x)

Reorder the terms:
5(3 + x) = 8(10 + -1x)
(3 * 5 + x * 5) = 8(10 + -1x)
(15 + 5x) = 8(10 + -1x)
15 + 5x = (10 * 8 + -1x * 8)
15 + 5x = (80 + -8x)

Solving
15 + 5x = 80 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
15 + 5x + 8x = 80 + -8x + 8x

Combine like terms: 5x + 8x = 13x
15 + 13x = 80 + -8x + 8x

Combine like terms: -8x + 8x = 0
15 + 13x = 80 + 0
15 + 13x = 80

Add '-15' to each side of the equation.
15 + -15 + 13x = 80 + -15

Combine like terms: 15 + -15 = 0
0 + 13x = 80 + -15
13x = 80 + -15

Combine like terms: 80 + -15 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5

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