2(x-3)=9-5(2x+1)

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Solution for 2(x-3)=9-5(2x+1) equation:


Simplifying
2(x + -3) = 9 + -5(2x + 1)

Reorder the terms:
2(-3 + x) = 9 + -5(2x + 1)
(-3 * 2 + x * 2) = 9 + -5(2x + 1)
(-6 + 2x) = 9 + -5(2x + 1)

Reorder the terms:
-6 + 2x = 9 + -5(1 + 2x)
-6 + 2x = 9 + (1 * -5 + 2x * -5)
-6 + 2x = 9 + (-5 + -10x)

Combine like terms: 9 + -5 = 4
-6 + 2x = 4 + -10x

Solving
-6 + 2x = 4 + -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.
-6 + 2x + 10x = 4 + -10x + 10x

Combine like terms: 2x + 10x = 12x
-6 + 12x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
-6 + 12x = 4 + 0
-6 + 12x = 4

Add '6' to each side of the equation.
-6 + 6 + 12x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 4 + 6
12x = 4 + 6

Combine like terms: 4 + 6 = 10
12x = 10

Divide each side by '12'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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