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

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


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

Reorder the terms:
4(1 + 2x) = 3(3x + -2)
(1 * 4 + 2x * 4) = 3(3x + -2)
(4 + 8x) = 3(3x + -2)

Reorder the terms:
4 + 8x = 3(-2 + 3x)
4 + 8x = (-2 * 3 + 3x * 3)
4 + 8x = (-6 + 9x)

Solving
4 + 8x = -6 + 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.
4 + 8x + -9x = -6 + 9x + -9x

Combine like terms: 8x + -9x = -1x
4 + -1x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -1x = -6 + 0
4 + -1x = -6

Add '-4' to each side of the equation.
4 + -4 + -1x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -6 + -4
-1x = -6 + -4

Combine like terms: -6 + -4 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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