3+2(5x-6)=5-5(2x+1)

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Solution for 3+2(5x-6)=5-5(2x+1) equation:


Simplifying
3 + 2(5x + -6) = 5 + -5(2x + 1)

Reorder the terms:
3 + 2(-6 + 5x) = 5 + -5(2x + 1)
3 + (-6 * 2 + 5x * 2) = 5 + -5(2x + 1)
3 + (-12 + 10x) = 5 + -5(2x + 1)

Combine like terms: 3 + -12 = -9
-9 + 10x = 5 + -5(2x + 1)

Reorder the terms:
-9 + 10x = 5 + -5(1 + 2x)
-9 + 10x = 5 + (1 * -5 + 2x * -5)
-9 + 10x = 5 + (-5 + -10x)

Combine like terms: 5 + -5 = 0
-9 + 10x = 0 + -10x
-9 + 10x = -10x

Solving
-9 + 10x = -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.
-9 + 10x + 10x = -10x + 10x

Combine like terms: 10x + 10x = 20x
-9 + 20x = -10x + 10x

Combine like terms: -10x + 10x = 0
-9 + 20x = 0

Add '9' to each side of the equation.
-9 + 9 + 20x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 20x = 0 + 9
20x = 0 + 9

Combine like terms: 0 + 9 = 9
20x = 9

Divide each side by '20'.
x = 0.45

Simplifying
x = 0.45

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