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

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


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

Reorder the terms:
7(1 + 2x) = 5(x + -4)
(1 * 7 + 2x * 7) = 5(x + -4)
(7 + 14x) = 5(x + -4)

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

Solving
7 + 14x = -20 + 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 = -20 + 5x + -5x

Combine like terms: 14x + -5x = 9x
7 + 9x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 9x = -20 + 0
7 + 9x = -20

Add '-7' to each side of the equation.
7 + -7 + 9x = -20 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = -20 + -7
9x = -20 + -7

Combine like terms: -20 + -7 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3

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