5-2(x+7)=8-3x

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Solution for 5-2(x+7)=8-3x equation:


Simplifying
5 + -2(x + 7) = 8 + -3x

Reorder the terms:
5 + -2(7 + x) = 8 + -3x
5 + (7 * -2 + x * -2) = 8 + -3x
5 + (-14 + -2x) = 8 + -3x

Combine like terms: 5 + -14 = -9
-9 + -2x = 8 + -3x

Solving
-9 + -2x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-9 + -2x + 3x = 8 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-9 + 1x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 1x = 8 + 0
-9 + 1x = 8

Add '9' to each side of the equation.
-9 + 9 + 1x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 8 + 9
1x = 8 + 9

Combine like terms: 8 + 9 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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