7(2x+3)-12x=3x+17

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Solution for 7(2x+3)-12x=3x+17 equation:


Simplifying
7(2x + 3) + -12x = 3x + 17

Reorder the terms:
7(3 + 2x) + -12x = 3x + 17
(3 * 7 + 2x * 7) + -12x = 3x + 17
(21 + 14x) + -12x = 3x + 17

Combine like terms: 14x + -12x = 2x
21 + 2x = 3x + 17

Reorder the terms:
21 + 2x = 17 + 3x

Solving
21 + 2x = 17 + 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.
21 + 2x + -3x = 17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
21 + -1x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -1x = 17 + 0
21 + -1x = 17

Add '-21' to each side of the equation.
21 + -21 + -1x = 17 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 17 + -21
-1x = 17 + -21

Combine like terms: 17 + -21 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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