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

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


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

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

Remove parenthesis around (2 + 7x)
2 + 7x = 5(4x + -1)

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

Solving
2 + 7x = -5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
2 + 7x + -20x = -5 + 20x + -20x

Combine like terms: 7x + -20x = -13x
2 + -13x = -5 + 20x + -20x

Combine like terms: 20x + -20x = 0
2 + -13x = -5 + 0
2 + -13x = -5

Add '-2' to each side of the equation.
2 + -2 + -13x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = -5 + -2
-13x = -5 + -2

Combine like terms: -5 + -2 = -7
-13x = -7

Divide each side by '-13'.
x = 0.5384615385

Simplifying
x = 0.5384615385

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