2(x+7)-(3x-2)=3

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Solution for 2(x+7)-(3x-2)=3 equation:


Simplifying
2(x + 7) + -1(3x + -2) = 3

Reorder the terms:
2(7 + x) + -1(3x + -2) = 3
(7 * 2 + x * 2) + -1(3x + -2) = 3
(14 + 2x) + -1(3x + -2) = 3

Reorder the terms:
14 + 2x + -1(-2 + 3x) = 3
14 + 2x + (-2 * -1 + 3x * -1) = 3
14 + 2x + (2 + -3x) = 3

Reorder the terms:
14 + 2 + 2x + -3x = 3

Combine like terms: 14 + 2 = 16
16 + 2x + -3x = 3

Combine like terms: 2x + -3x = -1x
16 + -1x = 3

Solving
16 + -1x = 3

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 3 + -16
-1x = 3 + -16

Combine like terms: 3 + -16 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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