4(5x+3)-5(2x+1)=27

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Solution for 4(5x+3)-5(2x+1)=27 equation: 


Simplifying
4(5x + 3) + -5(2x + 1) = 27

Reorder the terms:
4(3 + 5x) + -5(2x + 1) = 27
(3 * 4 + 5x * 4) + -5(2x + 1) = 27
(12 + 20x) + -5(2x + 1) = 27

Reorder the terms:
12 + 20x + -5(1 + 2x) = 27
12 + 20x + (1 * -5 + 2x * -5) = 27
12 + 20x + (-5 + -10x) = 27

Reorder the terms:
12 + -5 + 20x + -10x = 27

Combine like terms: 12 + -5 = 7
7 + 20x + -10x = 27

Combine like terms: 20x + -10x = 10x
7 + 10x = 27

Solving
7 + 10x = 27

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 10x = 27 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = 27 + -7
10x = 27 + -7

Combine like terms: 27 + -7 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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