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

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


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

Reorder the terms:
5(8 + x) = 3(x + 10)
(8 * 5 + x * 5) = 3(x + 10)
(40 + 5x) = 3(x + 10)

Reorder the terms:
40 + 5x = 3(10 + x)
40 + 5x = (10 * 3 + x * 3)
40 + 5x = (30 + 3x)

Solving
40 + 5x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
40 + 5x + -3x = 30 + 3x + -3x

Combine like terms: 5x + -3x = 2x
40 + 2x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 2x = 30 + 0
40 + 2x = 30

Add '-40' to each side of the equation.
40 + -40 + 2x = 30 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 30 + -40
2x = 30 + -40

Combine like terms: 30 + -40 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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