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

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


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

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

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

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

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

Solving
1 + 5x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 5x + -7x = -2 + 7x + -7x

Combine like terms: 5x + -7x = -2x
1 + -2x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -2x = -2 + 0
1 + -2x = -2

Add '-1' to each side of the equation.
1 + -1 + -2x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -2 + -1
-2x = -2 + -1

Combine like terms: -2 + -1 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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