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

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


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

Reorder the terms:
5 + 3(-5 + 3x) = 5 + -4(2x + 1)
5 + (-5 * 3 + 3x * 3) = 5 + -4(2x + 1)
5 + (-15 + 9x) = 5 + -4(2x + 1)

Combine like terms: 5 + -15 = -10
-10 + 9x = 5 + -4(2x + 1)

Reorder the terms:
-10 + 9x = 5 + -4(1 + 2x)
-10 + 9x = 5 + (1 * -4 + 2x * -4)
-10 + 9x = 5 + (-4 + -8x)

Combine like terms: 5 + -4 = 1
-10 + 9x = 1 + -8x

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

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
-10 + 9x + 8x = 1 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-10 + 17x = 1 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 17x = 1 + 0
-10 + 17x = 1

Add '10' to each side of the equation.
-10 + 10 + 17x = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 17x = 1 + 10
17x = 1 + 10

Combine like terms: 1 + 10 = 11
17x = 11

Divide each side by '17'.
x = 0.6470588235

Simplifying
x = 0.6470588235

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