4(2x+5)-(5x-4)=27

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Solution for 4(2x+5)-(5x-4)=27 equation:


Simplifying
4(2x + 5) + -1(5x + -4) = 27

Reorder the terms:
4(5 + 2x) + -1(5x + -4) = 27
(5 * 4 + 2x * 4) + -1(5x + -4) = 27
(20 + 8x) + -1(5x + -4) = 27

Reorder the terms:
20 + 8x + -1(-4 + 5x) = 27
20 + 8x + (-4 * -1 + 5x * -1) = 27
20 + 8x + (4 + -5x) = 27

Reorder the terms:
20 + 4 + 8x + -5x = 27

Combine like terms: 20 + 4 = 24
24 + 8x + -5x = 27

Combine like terms: 8x + -5x = 3x
24 + 3x = 27

Solving
24 + 3x = 27

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 3x = 27 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 27 + -24
3x = 27 + -24

Combine like terms: 27 + -24 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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