5(x-2)-2(x+1)=3

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Solution for 5(x-2)-2(x+1)=3 equation:


Simplifying
5(x + -2) + -2(x + 1) = 3

Reorder the terms:
5(-2 + x) + -2(x + 1) = 3
(-2 * 5 + x * 5) + -2(x + 1) = 3
(-10 + 5x) + -2(x + 1) = 3

Reorder the terms:
-10 + 5x + -2(1 + x) = 3
-10 + 5x + (1 * -2 + x * -2) = 3
-10 + 5x + (-2 + -2x) = 3

Reorder the terms:
-10 + -2 + 5x + -2x = 3

Combine like terms: -10 + -2 = -12
-12 + 5x + -2x = 3

Combine like terms: 5x + -2x = 3x
-12 + 3x = 3

Solving
-12 + 3x = 3

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 3 + 12
3x = 3 + 12

Combine like terms: 3 + 12 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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