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

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


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

Reorder the terms:
2(-3 + x) = -3x + 14
(-3 * 2 + x * 2) = -3x + 14
(-6 + 2x) = -3x + 14

Reorder the terms:
-6 + 2x = 14 + -3x

Solving
-6 + 2x = 14 + -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.
-6 + 2x + 3x = 14 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 5x = 14 + 0
-6 + 5x = 14

Add '6' to each side of the equation.
-6 + 6 + 5x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 14 + 6
5x = 14 + 6

Combine like terms: 14 + 6 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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