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

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


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

Reorder the terms:
5 + -3(3 + x) = -2(5x + 2)
5 + (3 * -3 + x * -3) = -2(5x + 2)
5 + (-9 + -3x) = -2(5x + 2)

Combine like terms: 5 + -9 = -4
-4 + -3x = -2(5x + 2)

Reorder the terms:
-4 + -3x = -2(2 + 5x)
-4 + -3x = (2 * -2 + 5x * -2)
-4 + -3x = (-4 + -10x)

Add '4' to each side of the equation.
-4 + 4 + -3x = -4 + 4 + -10x

Combine like terms: -4 + 4 = 0
0 + -3x = -4 + 4 + -10x
-3x = -4 + 4 + -10x

Combine like terms: -4 + 4 = 0
-3x = 0 + -10x
-3x = -10x

Solving
-3x = -10x

Solving for variable 'x'.

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

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

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

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

Divide each side by '7'.
x = 0

Simplifying
x = 0

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