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

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


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

Remove parenthesis around (4x)
3 * 4x + 2 = 2(2x) + -3

Multiply 3 * 4
12x + 2 = 2(2x) + -3

Reorder the terms:
2 + 12x = 2(2x) + -3

Remove parenthesis around (2x)
2 + 12x = 2 * 2x + -3

Multiply 2 * 2
2 + 12x = 4x + -3

Reorder the terms:
2 + 12x = -3 + 4x

Solving
2 + 12x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 12x + -4x = -3 + 4x + -4x

Combine like terms: 12x + -4x = 8x
2 + 8x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 8x = -3 + 0
2 + 8x = -3

Add '-2' to each side of the equation.
2 + -2 + 8x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -3 + -2
8x = -3 + -2

Combine like terms: -3 + -2 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

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