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

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


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

Reorder the terms:
6 + 4(-4 + 3x) = 9 + -5(2x + 1)
6 + (-4 * 4 + 3x * 4) = 9 + -5(2x + 1)
6 + (-16 + 12x) = 9 + -5(2x + 1)

Combine like terms: 6 + -16 = -10
-10 + 12x = 9 + -5(2x + 1)

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

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

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

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

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

Add '10' to each side of the equation.
-10 + 10 + 22x = 4 + 10

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

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

Divide each side by '22'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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