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

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


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

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

Multiply 4 * 2
8x + -5 = 8 + -3(x + -2)

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

Reorder the terms:
-5 + 8x = 8 + -3(-2 + x)
-5 + 8x = 8 + (-2 * -3 + x * -3)
-5 + 8x = 8 + (6 + -3x)

Combine like terms: 8 + 6 = 14
-5 + 8x = 14 + -3x

Solving
-5 + 8x = 14 + -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.
-5 + 8x + 3x = 14 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-5 + 11x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 11x = 14 + 0
-5 + 11x = 14

Add '5' to each side of the equation.
-5 + 5 + 11x = 14 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 14 + 5
11x = 14 + 5

Combine like terms: 14 + 5 = 19
11x = 19

Divide each side by '11'.
x = 1.727272727

Simplifying
x = 1.727272727

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