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

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


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

Reorder the terms:
-3(-1 + 2x) + 5x = 3x + -2(4x + -3)
(-1 * -3 + 2x * -3) + 5x = 3x + -2(4x + -3)
(3 + -6x) + 5x = 3x + -2(4x + -3)

Combine like terms: -6x + 5x = -1x
3 + -1x = 3x + -2(4x + -3)

Reorder the terms:
3 + -1x = 3x + -2(-3 + 4x)
3 + -1x = 3x + (-3 * -2 + 4x * -2)
3 + -1x = 3x + (6 + -8x)

Reorder the terms:
3 + -1x = 6 + 3x + -8x

Combine like terms: 3x + -8x = -5x
3 + -1x = 6 + -5x

Solving
3 + -1x = 6 + -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.
3 + -1x + 5x = 6 + -5x + 5x

Combine like terms: -1x + 5x = 4x
3 + 4x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 4x = 6 + 0
3 + 4x = 6

Add '-3' to each side of the equation.
3 + -3 + 4x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 6 + -3
4x = 6 + -3

Combine like terms: 6 + -3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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