5(x-4)=2(x+1)

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Solution for 5(x-4)=2(x+1) equation:


Simplifying
5(x + -4) = 2(x + 1)

Reorder the terms:
5(-4 + x) = 2(x + 1)
(-4 * 5 + x * 5) = 2(x + 1)
(-20 + 5x) = 2(x + 1)

Reorder the terms:
-20 + 5x = 2(1 + x)
-20 + 5x = (1 * 2 + x * 2)
-20 + 5x = (2 + 2x)

Solving
-20 + 5x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 5x + -2x = 2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-20 + 3x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 3x = 2 + 0
-20 + 3x = 2

Add '20' to each side of the equation.
-20 + 20 + 3x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = 2 + 20
3x = 2 + 20

Combine like terms: 2 + 20 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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