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

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


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

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

Reorder the terms:
-12 + 4x = -3(-1 + 2x)
-12 + 4x = (-1 * -3 + 2x * -3)
-12 + 4x = (3 + -6x)

Solving
-12 + 4x = 3 + -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.
-12 + 4x + 6x = 3 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-12 + 10x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 10x = 3 + 0
-12 + 10x = 3

Add '12' to each side of the equation.
-12 + 12 + 10x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 3 + 12
10x = 3 + 12

Combine like terms: 3 + 12 = 15
10x = 15

Divide each side by '10'.
x = 1.5

Simplifying
x = 1.5

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