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

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


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

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

Remove parenthesis around (-3 + 4x)
-3 + 4x + -1(4 + -2x) = 5
-3 + 4x + (4 * -1 + -2x * -1) = 5
-3 + 4x + (-4 + 2x) = 5

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

Combine like terms: -3 + -4 = -7
-7 + 4x + 2x = 5

Combine like terms: 4x + 2x = 6x
-7 + 6x = 5

Solving
-7 + 6x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 5 + 7
6x = 5 + 7

Combine like terms: 5 + 7 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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