13+3x=4(-x+3)-41

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


Simplifying
13 + 3x = 4(-1x + 3) + -41

Reorder the terms:
13 + 3x = 4(3 + -1x) + -41
13 + 3x = (3 * 4 + -1x * 4) + -41
13 + 3x = (12 + -4x) + -41

Reorder the terms:
13 + 3x = 12 + -41 + -4x

Combine like terms: 12 + -41 = -29
13 + 3x = -29 + -4x

Solving
13 + 3x = -29 + -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.
13 + 3x + 4x = -29 + -4x + 4x

Combine like terms: 3x + 4x = 7x
13 + 7x = -29 + -4x + 4x

Combine like terms: -4x + 4x = 0
13 + 7x = -29 + 0
13 + 7x = -29

Add '-13' to each side of the equation.
13 + -13 + 7x = -29 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = -29 + -13
7x = -29 + -13

Combine like terms: -29 + -13 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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