2(x-3)-5(x+2)=14

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Solution for 2(x-3)-5(x+2)=14 equation:


Simplifying
2(x + -3) + -5(x + 2) = 14

Reorder the terms:
2(-3 + x) + -5(x + 2) = 14
(-3 * 2 + x * 2) + -5(x + 2) = 14
(-6 + 2x) + -5(x + 2) = 14

Reorder the terms:
-6 + 2x + -5(2 + x) = 14
-6 + 2x + (2 * -5 + x * -5) = 14
-6 + 2x + (-10 + -5x) = 14

Reorder the terms:
-6 + -10 + 2x + -5x = 14

Combine like terms: -6 + -10 = -16
-16 + 2x + -5x = 14

Combine like terms: 2x + -5x = -3x
-16 + -3x = 14

Solving
-16 + -3x = 14

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -3x = 14 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = 14 + 16
-3x = 14 + 16

Combine like terms: 14 + 16 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10

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