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

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


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

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

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

Reorder the terms:
-2 + 2x = 4(-5 + 2x)
-2 + 2x = (-5 * 4 + 2x * 4)
-2 + 2x = (-20 + 8x)

Solving
-2 + 2x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 2x + -8x = -20 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-2 + -6x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -6x = -20 + 0
-2 + -6x = -20

Add '2' to each side of the equation.
-2 + 2 + -6x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -20 + 2
-6x = -20 + 2

Combine like terms: -20 + 2 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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