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

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


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

Reorder the terms:
2(3 + x) + 5(x + -2) = x + 2
(3 * 2 + x * 2) + 5(x + -2) = x + 2
(6 + 2x) + 5(x + -2) = x + 2

Reorder the terms:
6 + 2x + 5(-2 + x) = x + 2
6 + 2x + (-2 * 5 + x * 5) = x + 2
6 + 2x + (-10 + 5x) = x + 2

Reorder the terms:
6 + -10 + 2x + 5x = x + 2

Combine like terms: 6 + -10 = -4
-4 + 2x + 5x = x + 2

Combine like terms: 2x + 5x = 7x
-4 + 7x = x + 2

Reorder the terms:
-4 + 7x = 2 + x

Solving
-4 + 7x = 2 + 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.
-4 + 7x + -1x = 2 + x + -1x

Combine like terms: 7x + -1x = 6x
-4 + 6x = 2 + x + -1x

Combine like terms: x + -1x = 0
-4 + 6x = 2 + 0
-4 + 6x = 2

Add '4' to each side of the equation.
-4 + 4 + 6x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 2 + 4
6x = 2 + 4

Combine like terms: 2 + 4 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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