7x-(3x-13)=41

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Solution for 7x-(3x-13)=41 equation:


Simplifying
7x + -1(3x + -13) = 41

Reorder the terms:
7x + -1(-13 + 3x) = 41
7x + (-13 * -1 + 3x * -1) = 41
7x + (13 + -3x) = 41

Reorder the terms:
13 + 7x + -3x = 41

Combine like terms: 7x + -3x = 4x
13 + 4x = 41

Solving
13 + 4x = 41

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 4x = 41 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 41 + -13
4x = 41 + -13

Combine like terms: 41 + -13 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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