6(x-4)=-3x+48

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Solution for 6(x-4)=-3x+48 equation:


Simplifying
6(x + -4) = -3x + 48

Reorder the terms:
6(-4 + x) = -3x + 48
(-4 * 6 + x * 6) = -3x + 48
(-24 + 6x) = -3x + 48

Reorder the terms:
-24 + 6x = 48 + -3x

Solving
-24 + 6x = 48 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-24 + 6x + 3x = 48 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-24 + 9x = 48 + -3x + 3x

Combine like terms: -3x + 3x = 0
-24 + 9x = 48 + 0
-24 + 9x = 48

Add '24' to each side of the equation.
-24 + 24 + 9x = 48 + 24

Combine like terms: -24 + 24 = 0
0 + 9x = 48 + 24
9x = 48 + 24

Combine like terms: 48 + 24 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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