x-(5-3x)=7x+13a

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Solution for x-(5-3x)=7x+13a equation:


Simplifying
x + -1(5 + -3x) = 7x + 13a
x + (5 * -1 + -3x * -1) = 7x + 13a
x + (-5 + 3x) = 7x + 13a

Reorder the terms:
-5 + x + 3x = 7x + 13a

Combine like terms: x + 3x = 4x
-5 + 4x = 7x + 13a

Reorder the terms:
-5 + 4x = 13a + 7x

Solving
-5 + 4x = 13a + 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.
-5 + 4x + -7x = 13a + 7x + -7x

Combine like terms: 4x + -7x = -3x
-5 + -3x = 13a + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -3x = 13a + 0
-5 + -3x = 13a

Add '5' to each side of the equation.
-5 + 5 + -3x = 5 + 13a

Combine like terms: -5 + 5 = 0
0 + -3x = 5 + 13a
-3x = 5 + 13a

Divide each side by '-3'.
x = -1.666666667 + -4.333333333a

Simplifying
x = -1.666666667 + -4.333333333a

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