13-4(2x-1)=5(x-2)

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Solution for 13-4(2x-1)=5(x-2) equation:


Simplifying
13 + -4(2x + -1) = 5(x + -2)

Reorder the terms:
13 + -4(-1 + 2x) = 5(x + -2)
13 + (-1 * -4 + 2x * -4) = 5(x + -2)
13 + (4 + -8x) = 5(x + -2)

Combine like terms: 13 + 4 = 17
17 + -8x = 5(x + -2)

Reorder the terms:
17 + -8x = 5(-2 + x)
17 + -8x = (-2 * 5 + x * 5)
17 + -8x = (-10 + 5x)

Solving
17 + -8x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + -8x + -5x = -10 + 5x + -5x

Combine like terms: -8x + -5x = -13x
17 + -13x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -13x = -10 + 0
17 + -13x = -10

Add '-17' to each side of the equation.
17 + -17 + -13x = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -13x = -10 + -17
-13x = -10 + -17

Combine like terms: -10 + -17 = -27
-13x = -27

Divide each side by '-13'.
x = 2.076923077

Simplifying
x = 2.076923077

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