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

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


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

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

Combine like terms: 3 + -16 = -13
-13 + 12x = 5 + -3(2x + 1)

Reorder the terms:
-13 + 12x = 5 + -3(1 + 2x)
-13 + 12x = 5 + (1 * -3 + 2x * -3)
-13 + 12x = 5 + (-3 + -6x)

Combine like terms: 5 + -3 = 2
-13 + 12x = 2 + -6x

Solving
-13 + 12x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-13 + 12x + 6x = 2 + -6x + 6x

Combine like terms: 12x + 6x = 18x
-13 + 18x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-13 + 18x = 2 + 0
-13 + 18x = 2

Add '13' to each side of the equation.
-13 + 13 + 18x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 18x = 2 + 13
18x = 2 + 13

Combine like terms: 2 + 13 = 15
18x = 15

Divide each side by '18'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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