(4x-3)-8=5x-(2x-3)

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Solution for (4x-3)-8=5x-(2x-3) equation:


Simplifying
(4x + -3) + -8 = 5x + -1(2x + -3)

Reorder the terms:
(-3 + 4x) + -8 = 5x + -1(2x + -3)

Remove parenthesis around (-3 + 4x)
-3 + 4x + -8 = 5x + -1(2x + -3)

Reorder the terms:
-3 + -8 + 4x = 5x + -1(2x + -3)

Combine like terms: -3 + -8 = -11
-11 + 4x = 5x + -1(2x + -3)

Reorder the terms:
-11 + 4x = 5x + -1(-3 + 2x)
-11 + 4x = 5x + (-3 * -1 + 2x * -1)
-11 + 4x = 5x + (3 + -2x)

Reorder the terms:
-11 + 4x = 3 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-11 + 4x = 3 + 3x

Solving
-11 + 4x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-11 + 4x + -3x = 3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-11 + 1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 1x = 3 + 0
-11 + 1x = 3

Add '11' to each side of the equation.
-11 + 11 + 1x = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 3 + 11
1x = 3 + 11

Combine like terms: 3 + 11 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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