27-1(2x+1)=5x-2(5+x)

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Solution for 27-1(2x+1)=5x-2(5+x) equation:


Simplifying
27 + -1(2x + 1) = 5x + -2(5 + x)

Reorder the terms:
27 + -1(1 + 2x) = 5x + -2(5 + x)
27 + (1 * -1 + 2x * -1) = 5x + -2(5 + x)
27 + (-1 + -2x) = 5x + -2(5 + x)

Combine like terms: 27 + -1 = 26
26 + -2x = 5x + -2(5 + x)
26 + -2x = 5x + (5 * -2 + x * -2)
26 + -2x = 5x + (-10 + -2x)

Reorder the terms:
26 + -2x = -10 + 5x + -2x

Combine like terms: 5x + -2x = 3x
26 + -2x = -10 + 3x

Solving
26 + -2x = -10 + 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.
26 + -2x + -3x = -10 + 3x + -3x

Combine like terms: -2x + -3x = -5x
26 + -5x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -5x = -10 + 0
26 + -5x = -10

Add '-26' to each side of the equation.
26 + -26 + -5x = -10 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = -10 + -26
-5x = -10 + -26

Combine like terms: -10 + -26 = -36
-5x = -36

Divide each side by '-5'.
x = 7.2

Simplifying
x = 7.2

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