3x-5+5x=6(2x-3)

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Solution for 3x-5+5x=6(2x-3) equation:


Simplifying
3x + -5 + 5x = 6(2x + -3)

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

Combine like terms: 3x + 5x = 8x
-5 + 8x = 6(2x + -3)

Reorder the terms:
-5 + 8x = 6(-3 + 2x)
-5 + 8x = (-3 * 6 + 2x * 6)
-5 + 8x = (-18 + 12x)

Solving
-5 + 8x = -18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-5 + 8x + -12x = -18 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-5 + -4x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -4x = -18 + 0
-5 + -4x = -18

Add '5' to each side of the equation.
-5 + 5 + -4x = -18 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -18 + 5
-4x = -18 + 5

Combine like terms: -18 + 5 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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