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

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


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

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

Reorder the terms:
10 + -5x = 3 + 2x

Solving
10 + -5x = 3 + 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.
10 + -5x + -2x = 3 + 2x + -2x

Combine like terms: -5x + -2x = -7x
10 + -7x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -7x = 3 + 0
10 + -7x = 3

Add '-10' to each side of the equation.
10 + -10 + -7x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 3 + -10
-7x = 3 + -10

Combine like terms: 3 + -10 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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