7x-5(1-4x)=8x+14

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Solution for 7x-5(1-4x)=8x+14 equation:


Simplifying
7x + -5(1 + -4x) = 8x + 14
7x + (1 * -5 + -4x * -5) = 8x + 14
7x + (-5 + 20x) = 8x + 14

Reorder the terms:
-5 + 7x + 20x = 8x + 14

Combine like terms: 7x + 20x = 27x
-5 + 27x = 8x + 14

Reorder the terms:
-5 + 27x = 14 + 8x

Solving
-5 + 27x = 14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 27x + -8x = 14 + 8x + -8x

Combine like terms: 27x + -8x = 19x
-5 + 19x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + 19x = 14 + 0
-5 + 19x = 14

Add '5' to each side of the equation.
-5 + 5 + 19x = 14 + 5

Combine like terms: -5 + 5 = 0
0 + 19x = 14 + 5
19x = 14 + 5

Combine like terms: 14 + 5 = 19
19x = 19

Divide each side by '19'.
x = 1

Simplifying
x = 1

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