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

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


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

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

Reorder the terms:
-9 + 6x = 4(1 + x)
-9 + 6x = (1 * 4 + x * 4)
-9 + 6x = (4 + 4x)

Solving
-9 + 6x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 6x + -4x = 4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = 4 + 0
-9 + 2x = 4

Add '9' to each side of the equation.
-9 + 9 + 2x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 4 + 9
2x = 4 + 9

Combine like terms: 4 + 9 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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