-4(3x-6)+7x=3(x+4)

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Solution for -4(3x-6)+7x=3(x+4) equation:


Simplifying
-4(3x + -6) + 7x = 3(x + 4)

Reorder the terms:
-4(-6 + 3x) + 7x = 3(x + 4)
(-6 * -4 + 3x * -4) + 7x = 3(x + 4)
(24 + -12x) + 7x = 3(x + 4)

Combine like terms: -12x + 7x = -5x
24 + -5x = 3(x + 4)

Reorder the terms:
24 + -5x = 3(4 + x)
24 + -5x = (4 * 3 + x * 3)
24 + -5x = (12 + 3x)

Solving
24 + -5x = 12 + 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 + -5x + -3x = 12 + 3x + -3x

Combine like terms: -5x + -3x = -8x
24 + -8x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -8x = 12 + 0
24 + -8x = 12

Add '-24' to each side of the equation.
24 + -24 + -8x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = 12 + -24
-8x = 12 + -24

Combine like terms: 12 + -24 = -12
-8x = -12

Divide each side by '-8'.
x = 1.5

Simplifying
x = 1.5

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