5(3x-4)=8(x+1)

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Solution for 5(3x-4)=8(x+1) equation:


Simplifying
5(3x + -4) = 8(x + 1)

Reorder the terms:
5(-4 + 3x) = 8(x + 1)
(-4 * 5 + 3x * 5) = 8(x + 1)
(-20 + 15x) = 8(x + 1)

Reorder the terms:
-20 + 15x = 8(1 + x)
-20 + 15x = (1 * 8 + x * 8)
-20 + 15x = (8 + 8x)

Solving
-20 + 15x = 8 + 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.
-20 + 15x + -8x = 8 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-20 + 7x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + 7x = 8 + 0
-20 + 7x = 8

Add '20' to each side of the equation.
-20 + 20 + 7x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 8 + 20
7x = 8 + 20

Combine like terms: 8 + 20 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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