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

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


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

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

Remove parenthesis around (-3 + 2x)
-3 + 2x = 4(x + -2) + -3

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

Reorder the terms:
-3 + 2x = -8 + -3 + 4x

Combine like terms: -8 + -3 = -11
-3 + 2x = -11 + 4x

Solving
-3 + 2x = -11 + 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.
-3 + 2x + -4x = -11 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-3 + -2x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -2x = -11 + 0
-3 + -2x = -11

Add '3' to each side of the equation.
-3 + 3 + -2x = -11 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -11 + 3
-2x = -11 + 3

Combine like terms: -11 + 3 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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