4+3(4x-6)=9-5(2x+1)

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Solution for 4+3(4x-6)=9-5(2x+1) equation:


Simplifying
4 + 3(4x + -6) = 9 + -5(2x + 1)

Reorder the terms:
4 + 3(-6 + 4x) = 9 + -5(2x + 1)
4 + (-6 * 3 + 4x * 3) = 9 + -5(2x + 1)
4 + (-18 + 12x) = 9 + -5(2x + 1)

Combine like terms: 4 + -18 = -14
-14 + 12x = 9 + -5(2x + 1)

Reorder the terms:
-14 + 12x = 9 + -5(1 + 2x)
-14 + 12x = 9 + (1 * -5 + 2x * -5)
-14 + 12x = 9 + (-5 + -10x)

Combine like terms: 9 + -5 = 4
-14 + 12x = 4 + -10x

Solving
-14 + 12x = 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.
-14 + 12x + 10x = 4 + -10x + 10x

Combine like terms: 12x + 10x = 22x
-14 + 22x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
-14 + 22x = 4 + 0
-14 + 22x = 4

Add '14' to each side of the equation.
-14 + 14 + 22x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 22x = 4 + 14
22x = 4 + 14

Combine like terms: 4 + 14 = 18
22x = 18

Divide each side by '22'.
x = 0.8181818182

Simplifying
x = 0.8181818182

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