-5(x+2)=3(-2x+1)

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Solution for -5(x+2)=3(-2x+1) equation:


Simplifying
-5(x + 2) = 3(-2x + 1)

Reorder the terms:
-5(2 + x) = 3(-2x + 1)
(2 * -5 + x * -5) = 3(-2x + 1)
(-10 + -5x) = 3(-2x + 1)

Reorder the terms:
-10 + -5x = 3(1 + -2x)
-10 + -5x = (1 * 3 + -2x * 3)
-10 + -5x = (3 + -6x)

Solving
-10 + -5x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10 + -5x + 6x = 3 + -6x + 6x

Combine like terms: -5x + 6x = 1x
-10 + 1x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 1x = 3 + 0
-10 + 1x = 3

Add '10' to each side of the equation.
-10 + 10 + 1x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 3 + 10
1x = 3 + 10

Combine like terms: 3 + 10 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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