4x+13=-3x+41

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Solution for 4x+13=-3x+41 equation:


Simplifying
4x + 13 = -3x + 41

Reorder the terms:
13 + 4x = -3x + 41

Reorder the terms:
13 + 4x = 41 + -3x

Solving
13 + 4x = 41 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
13 + 4x + 3x = 41 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
13 + 7x = 41 + 0
13 + 7x = 41

Add '-13' to each side of the equation.
13 + -13 + 7x = 41 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 41 + -13
7x = 41 + -13

Combine like terms: 41 + -13 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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