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

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


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

Reorder the terms:
2 + 3(-5 + 4x) = 6 + -5(2x + 1)
2 + (-5 * 3 + 4x * 3) = 6 + -5(2x + 1)
2 + (-15 + 12x) = 6 + -5(2x + 1)

Combine like terms: 2 + -15 = -13
-13 + 12x = 6 + -5(2x + 1)

Reorder the terms:
-13 + 12x = 6 + -5(1 + 2x)
-13 + 12x = 6 + (1 * -5 + 2x * -5)
-13 + 12x = 6 + (-5 + -10x)

Combine like terms: 6 + -5 = 1
-13 + 12x = 1 + -10x

Solving
-13 + 12x = 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.
-13 + 12x + 10x = 1 + -10x + 10x

Combine like terms: 12x + 10x = 22x
-13 + 22x = 1 + -10x + 10x

Combine like terms: -10x + 10x = 0
-13 + 22x = 1 + 0
-13 + 22x = 1

Add '13' to each side of the equation.
-13 + 13 + 22x = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 22x = 1 + 13
22x = 1 + 13

Combine like terms: 1 + 13 = 14
22x = 14

Divide each side by '22'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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