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

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


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

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

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

Reorder the terms:
-3 + 2x = -6 + 4x + 2x

Combine like terms: 4x + 2x = 6x
-3 + 2x = -6 + 6x

Solving
-3 + 2x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 2x + -6x = -6 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-3 + -4x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 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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