5(4x+1)-2(4x+7)=3

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Solution for 5(4x+1)-2(4x+7)=3 equation:


Simplifying
5(4x + 1) + -2(4x + 7) = 3

Reorder the terms:
5(1 + 4x) + -2(4x + 7) = 3
(1 * 5 + 4x * 5) + -2(4x + 7) = 3
(5 + 20x) + -2(4x + 7) = 3

Reorder the terms:
5 + 20x + -2(7 + 4x) = 3
5 + 20x + (7 * -2 + 4x * -2) = 3
5 + 20x + (-14 + -8x) = 3

Reorder the terms:
5 + -14 + 20x + -8x = 3

Combine like terms: 5 + -14 = -9
-9 + 20x + -8x = 3

Combine like terms: 20x + -8x = 12x
-9 + 12x = 3

Solving
-9 + 12x = 3

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 12x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 12x = 3 + 9
12x = 3 + 9

Combine like terms: 3 + 9 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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