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

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


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

Reorder the terms:
2(-3 + 4x) = -3(3x) + 5x
(-3 * 2 + 4x * 2) = -3(3x) + 5x
(-6 + 8x) = -3(3x) + 5x

Remove parenthesis around (3x)
-6 + 8x = -3 * 3x + 5x

Multiply -3 * 3
-6 + 8x = -9x + 5x

Combine like terms: -9x + 5x = -4x
-6 + 8x = -4x

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

Combine like terms: 8x + 4x = 12x
-6 + 12x = -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 12x = 0

Add '6' to each side of the equation.
-6 + 6 + 12x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 0 + 6
12x = 0 + 6

Combine like terms: 0 + 6 = 6
12x = 6

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5

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