7(5-2x)+12x=17+x

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Solution for 7(5-2x)+12x=17+x equation:


Simplifying
7(5 + -2x) + 12x = 17 + x
(5 * 7 + -2x * 7) + 12x = 17 + x
(35 + -14x) + 12x = 17 + x

Combine like terms: -14x + 12x = -2x
35 + -2x = 17 + x

Solving
35 + -2x = 17 + 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.
35 + -2x + -1x = 17 + x + -1x

Combine like terms: -2x + -1x = -3x
35 + -3x = 17 + x + -1x

Combine like terms: x + -1x = 0
35 + -3x = 17 + 0
35 + -3x = 17

Add '-35' to each side of the equation.
35 + -35 + -3x = 17 + -35

Combine like terms: 35 + -35 = 0
0 + -3x = 17 + -35
-3x = 17 + -35

Combine like terms: 17 + -35 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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