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

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


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

Reorder the terms:
8 + 4x = 3(-4 + 3x)
8 + 4x = (-4 * 3 + 3x * 3)
8 + 4x = (-12 + 9x)

Solving
8 + 4x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 4x + -9x = -12 + 9x + -9x

Combine like terms: 4x + -9x = -5x
8 + -5x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -5x = -12 + 0
8 + -5x = -12

Add '-8' to each side of the equation.
8 + -8 + -5x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -12 + -8
-5x = -12 + -8

Combine like terms: -12 + -8 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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