(7x-2)=(-4x+13)

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Solution for (7x-2)=(-4x+13) equation:


Simplifying
(7x + -2) = (-4x + 13)

Reorder the terms:
(-2 + 7x) = (-4x + 13)

Remove parenthesis around (-2 + 7x)
-2 + 7x = (-4x + 13)

Reorder the terms:
-2 + 7x = (13 + -4x)

Remove parenthesis around (13 + -4x)
-2 + 7x = 13 + -4x

Solving
-2 + 7x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2 + 7x + 4x = 13 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-2 + 11x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 11x = 13 + 0
-2 + 11x = 13

Add '2' to each side of the equation.
-2 + 2 + 11x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 13 + 2
11x = 13 + 2

Combine like terms: 13 + 2 = 15
11x = 15

Divide each side by '11'.
x = 1.363636364

Simplifying
x = 1.363636364

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