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

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


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

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

Reorder the terms:
8 + 12x = -3 + 5x

Solving
8 + 12x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 12x + -5x = -3 + 5x + -5x

Combine like terms: 12x + -5x = 7x
8 + 7x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 7x = -3 + 0
8 + 7x = -3

Add '-8' to each side of the equation.
8 + -8 + 7x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -3 + -8
7x = -3 + -8

Combine like terms: -3 + -8 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571

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