4(3x+2)=5(2x-1)

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Solution for 4(3x+2)=5(2x-1) equation:


Simplifying
4(3x + 2) = 5(2x + -1)

Reorder the terms:
4(2 + 3x) = 5(2x + -1)
(2 * 4 + 3x * 4) = 5(2x + -1)
(8 + 12x) = 5(2x + -1)

Reorder the terms:
8 + 12x = 5(-1 + 2x)
8 + 12x = (-1 * 5 + 2x * 5)
8 + 12x = (-5 + 10x)

Solving
8 + 12x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + 12x + -10x = -5 + 10x + -10x

Combine like terms: 12x + -10x = 2x
8 + 2x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + 2x = -5 + 0
8 + 2x = -5

Add '-8' to each side of the equation.
8 + -8 + 2x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -5 + -8
2x = -5 + -8

Combine like terms: -5 + -8 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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