-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 = -10x
9 + -10x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -10x = 4 + 0
9 + -10x = 4

Add '-9' to each side of the equation.
9 + -9 + -10x = 4 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = 4 + -9
-10x = 4 + -9

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

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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