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

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


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

Reorder the terms:
-5(-2 + x) = -3x + 14
(-2 * -5 + x * -5) = -3x + 14
(10 + -5x) = -3x + 14

Reorder the terms:
10 + -5x = 14 + -3x

Solving
10 + -5x = 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.
10 + -5x + 3x = 14 + -3x + 3x

Combine like terms: -5x + 3x = -2x
10 + -2x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -2x = 14 + 0
10 + -2x = 14

Add '-10' to each side of the equation.
10 + -10 + -2x = 14 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 14 + -10
-2x = 14 + -10

Combine like terms: 14 + -10 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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