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

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


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

Reorder the terms:
5(-3 + 2x) = 2(-3x + -2) + 5
(-3 * 5 + 2x * 5) = 2(-3x + -2) + 5
(-15 + 10x) = 2(-3x + -2) + 5

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

Reorder the terms:
-15 + 10x = -4 + 5 + -6x

Combine like terms: -4 + 5 = 1
-15 + 10x = 1 + -6x

Solving
-15 + 10x = 1 + -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.
-15 + 10x + 6x = 1 + -6x + 6x

Combine like terms: 10x + 6x = 16x
-15 + 16x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 16x = 1 + 0
-15 + 16x = 1

Add '15' to each side of the equation.
-15 + 15 + 16x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 16x = 1 + 15
16x = 1 + 15

Combine like terms: 1 + 15 = 16
16x = 16

Divide each side by '16'.
x = 1

Simplifying
x = 1

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