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

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


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

Reorder the terms:
2 + -3(2 + 5x) = 2(3 + -5x)
2 + (2 * -3 + 5x * -3) = 2(3 + -5x)
2 + (-6 + -15x) = 2(3 + -5x)

Combine like terms: 2 + -6 = -4
-4 + -15x = 2(3 + -5x)
-4 + -15x = (3 * 2 + -5x * 2)
-4 + -15x = (6 + -10x)

Solving
-4 + -15x = 6 + -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.
-4 + -15x + 10x = 6 + -10x + 10x

Combine like terms: -15x + 10x = -5x
-4 + -5x = 6 + -10x + 10x

Combine like terms: -10x + 10x = 0
-4 + -5x = 6 + 0
-4 + -5x = 6

Add '4' to each side of the equation.
-4 + 4 + -5x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 6 + 4
-5x = 6 + 4

Combine like terms: 6 + 4 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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