5(8+3x)=8(2x+4)

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Solution for 5(8+3x)=8(2x+4) equation:


Simplifying
5(8 + 3x) = 8(2x + 4)
(8 * 5 + 3x * 5) = 8(2x + 4)
(40 + 15x) = 8(2x + 4)

Reorder the terms:
40 + 15x = 8(4 + 2x)
40 + 15x = (4 * 8 + 2x * 8)
40 + 15x = (32 + 16x)

Solving
40 + 15x = 32 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
40 + 15x + -16x = 32 + 16x + -16x

Combine like terms: 15x + -16x = -1x
40 + -1x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
40 + -1x = 32 + 0
40 + -1x = 32

Add '-40' to each side of the equation.
40 + -40 + -1x = 32 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 32 + -40
-1x = 32 + -40

Combine like terms: 32 + -40 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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