3(4x-3)+7=-2x+14

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Solution for 3(4x-3)+7=-2x+14 equation:


Simplifying
3(4x + -3) + 7 = -2x + 14

Reorder the terms:
3(-3 + 4x) + 7 = -2x + 14
(-3 * 3 + 4x * 3) + 7 = -2x + 14
(-9 + 12x) + 7 = -2x + 14

Reorder the terms:
-9 + 7 + 12x = -2x + 14

Combine like terms: -9 + 7 = -2
-2 + 12x = -2x + 14

Reorder the terms:
-2 + 12x = 14 + -2x

Solving
-2 + 12x = 14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2 + 12x + 2x = 14 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-2 + 14x = 14 + 0
-2 + 14x = 14

Add '2' to each side of the equation.
-2 + 2 + 14x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 14x = 14 + 2
14x = 14 + 2

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

Divide each side by '14'.
x = 1.142857143

Simplifying
x = 1.142857143

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