4(x-1)+3(x+5)=2x+41

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Solution for 4(x-1)+3(x+5)=2x+41 equation:


Simplifying
4(x + -1) + 3(x + 5) = 2x + 41

Reorder the terms:
4(-1 + x) + 3(x + 5) = 2x + 41
(-1 * 4 + x * 4) + 3(x + 5) = 2x + 41
(-4 + 4x) + 3(x + 5) = 2x + 41

Reorder the terms:
-4 + 4x + 3(5 + x) = 2x + 41
-4 + 4x + (5 * 3 + x * 3) = 2x + 41
-4 + 4x + (15 + 3x) = 2x + 41

Reorder the terms:
-4 + 15 + 4x + 3x = 2x + 41

Combine like terms: -4 + 15 = 11
11 + 4x + 3x = 2x + 41

Combine like terms: 4x + 3x = 7x
11 + 7x = 2x + 41

Reorder the terms:
11 + 7x = 41 + 2x

Solving
11 + 7x = 41 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 7x + -2x = 41 + 2x + -2x

Combine like terms: 7x + -2x = 5x
11 + 5x = 41 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 5x = 41 + 0
11 + 5x = 41

Add '-11' to each side of the equation.
11 + -11 + 5x = 41 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 41 + -11
5x = 41 + -11

Combine like terms: 41 + -11 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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