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

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


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

Reorder the terms:
5(-2 + x) = 2 + (x + 1)
(-2 * 5 + x * 5) = 2 + (x + 1)
(-10 + 5x) = 2 + (x + 1)

Reorder the terms:
-10 + 5x = 2 + (1 + x)

Remove parenthesis around (1 + x)
-10 + 5x = 2 + 1 + x

Combine like terms: 2 + 1 = 3
-10 + 5x = 3 + x

Solving
-10 + 5x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 5x + -1x = 3 + x + -1x

Combine like terms: 5x + -1x = 4x
-10 + 4x = 3 + x + -1x

Combine like terms: x + -1x = 0
-10 + 4x = 3 + 0
-10 + 4x = 3

Add '10' to each side of the equation.
-10 + 10 + 4x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 3 + 10
4x = 3 + 10

Combine like terms: 3 + 10 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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