3+2(4x-6)=6-5(2x+1)

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Solution for 3+2(4x-6)=6-5(2x+1) equation:


Simplifying
3 + 2(4x + -6) = 6 + -5(2x + 1)

Reorder the terms:
3 + 2(-6 + 4x) = 6 + -5(2x + 1)
3 + (-6 * 2 + 4x * 2) = 6 + -5(2x + 1)
3 + (-12 + 8x) = 6 + -5(2x + 1)

Combine like terms: 3 + -12 = -9
-9 + 8x = 6 + -5(2x + 1)

Reorder the terms:
-9 + 8x = 6 + -5(1 + 2x)
-9 + 8x = 6 + (1 * -5 + 2x * -5)
-9 + 8x = 6 + (-5 + -10x)

Combine like terms: 6 + -5 = 1
-9 + 8x = 1 + -10x

Solving
-9 + 8x = 1 + -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 + 8x + 10x = 1 + -10x + 10x

Combine like terms: 8x + 10x = 18x
-9 + 18x = 1 + -10x + 10x

Combine like terms: -10x + 10x = 0
-9 + 18x = 1 + 0
-9 + 18x = 1

Add '9' to each side of the equation.
-9 + 9 + 18x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 18x = 1 + 9
18x = 1 + 9

Combine like terms: 1 + 9 = 10
18x = 10

Divide each side by '18'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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