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

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


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

Reorder the terms:
5 + 4(-5 + 3x) = 9 + -5(2x + 1)
5 + (-5 * 4 + 3x * 4) = 9 + -5(2x + 1)
5 + (-20 + 12x) = 9 + -5(2x + 1)

Combine like terms: 5 + -20 = -15
-15 + 12x = 9 + -5(2x + 1)

Reorder the terms:
-15 + 12x = 9 + -5(1 + 2x)
-15 + 12x = 9 + (1 * -5 + 2x * -5)
-15 + 12x = 9 + (-5 + -10x)

Combine like terms: 9 + -5 = 4
-15 + 12x = 4 + -10x

Solving
-15 + 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.
-15 + 12x + 10x = 4 + -10x + 10x

Combine like terms: 12x + 10x = 22x
-15 + 22x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
-15 + 22x = 4 + 0
-15 + 22x = 4

Add '15' to each side of the equation.
-15 + 15 + 22x = 4 + 15

Combine like terms: -15 + 15 = 0
0 + 22x = 4 + 15
22x = 4 + 15

Combine like terms: 4 + 15 = 19
22x = 19

Divide each side by '22'.
x = 0.8636363636

Simplifying
x = 0.8636363636

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