5(x+13)=8(4+x)

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Solution for 5(x+13)=8(4+x) equation:


Simplifying
5(x + 13) = 8(4 + x)

Reorder the terms:
5(13 + x) = 8(4 + x)
(13 * 5 + x * 5) = 8(4 + x)
(65 + 5x) = 8(4 + x)
65 + 5x = (4 * 8 + x * 8)
65 + 5x = (32 + 8x)

Solving
65 + 5x = 32 + 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.
65 + 5x + -8x = 32 + 8x + -8x

Combine like terms: 5x + -8x = -3x
65 + -3x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
65 + -3x = 32 + 0
65 + -3x = 32

Add '-65' to each side of the equation.
65 + -65 + -3x = 32 + -65

Combine like terms: 65 + -65 = 0
0 + -3x = 32 + -65
-3x = 32 + -65

Combine like terms: 32 + -65 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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