-4(6-x)+3=2(x-3)

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Solution for -4(6-x)+3=2(x-3) equation:


Simplifying
-4(6 + -1x) + 3 = 2(x + -3)
(6 * -4 + -1x * -4) + 3 = 2(x + -3)
(-24 + 4x) + 3 = 2(x + -3)

Reorder the terms:
-24 + 3 + 4x = 2(x + -3)

Combine like terms: -24 + 3 = -21
-21 + 4x = 2(x + -3)

Reorder the terms:
-21 + 4x = 2(-3 + x)
-21 + 4x = (-3 * 2 + x * 2)
-21 + 4x = (-6 + 2x)

Solving
-21 + 4x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + 4x + -2x = -6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-21 + 2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 2x = -6 + 0
-21 + 2x = -6

Add '21' to each side of the equation.
-21 + 21 + 2x = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = -6 + 21
2x = -6 + 21

Combine like terms: -6 + 21 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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