7(2x+1)=3x-8x

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Solution for 7(2x+1)=3x-8x equation:


Simplifying
7(2x + 1) = 3x + -8x

Reorder the terms:
7(1 + 2x) = 3x + -8x
(1 * 7 + 2x * 7) = 3x + -8x
(7 + 14x) = 3x + -8x

Combine like terms: 3x + -8x = -5x
7 + 14x = -5x

Solving
7 + 14x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
7 + 14x + 5x = -5x + 5x

Combine like terms: 14x + 5x = 19x
7 + 19x = -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 19x = 0

Add '-7' to each side of the equation.
7 + -7 + 19x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 19x = 0 + -7
19x = 0 + -7

Combine like terms: 0 + -7 = -7
19x = -7

Divide each side by '19'.
x = -0.3684210526

Simplifying
x = -0.3684210526

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