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

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


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

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

Combine like terms: 4 + -12 = -8
-8 + 9x = 9 + -4(2x + 1)

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

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

Solving
-8 + 9x = 5 + -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.
-8 + 9x + 8x = 5 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-8 + 17x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 17x = 5 + 0
-8 + 17x = 5

Add '8' to each side of the equation.
-8 + 8 + 17x = 5 + 8

Combine like terms: -8 + 8 = 0
0 + 17x = 5 + 8
17x = 5 + 8

Combine like terms: 5 + 8 = 13
17x = 13

Divide each side by '17'.
x = 0.7647058824

Simplifying
x = 0.7647058824

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