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

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


Simplifying
3(2 + -4x) + 3 = 3x + -2(5x + 3)
(2 * 3 + -4x * 3) + 3 = 3x + -2(5x + 3)
(6 + -12x) + 3 = 3x + -2(5x + 3)

Reorder the terms:
6 + 3 + -12x = 3x + -2(5x + 3)

Combine like terms: 6 + 3 = 9
9 + -12x = 3x + -2(5x + 3)

Reorder the terms:
9 + -12x = 3x + -2(3 + 5x)
9 + -12x = 3x + (3 * -2 + 5x * -2)
9 + -12x = 3x + (-6 + -10x)

Reorder the terms:
9 + -12x = -6 + 3x + -10x

Combine like terms: 3x + -10x = -7x
9 + -12x = -6 + -7x

Solving
9 + -12x = -6 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
9 + -12x + 7x = -6 + -7x + 7x

Combine like terms: -12x + 7x = -5x
9 + -5x = -6 + -7x + 7x

Combine like terms: -7x + 7x = 0
9 + -5x = -6 + 0
9 + -5x = -6

Add '-9' to each side of the equation.
9 + -9 + -5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -6 + -9
-5x = -6 + -9

Combine like terms: -6 + -9 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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