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

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


Simplifying
4(-2 + 3x) = 3(-2x + 5)
(-2 * 4 + 3x * 4) = 3(-2x + 5)
(-8 + 12x) = 3(-2x + 5)

Reorder the terms:
-8 + 12x = 3(5 + -2x)
-8 + 12x = (5 * 3 + -2x * 3)
-8 + 12x = (15 + -6x)

Solving
-8 + 12x = 15 + -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.
-8 + 12x + 6x = 15 + -6x + 6x

Combine like terms: 12x + 6x = 18x
-8 + 18x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 18x = 15 + 0
-8 + 18x = 15

Add '8' to each side of the equation.
-8 + 8 + 18x = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 18x = 15 + 8
18x = 15 + 8

Combine like terms: 15 + 8 = 23
18x = 23

Divide each side by '18'.
x = 1.277777778

Simplifying
x = 1.277777778

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