41-(4x+15)=4(x+2)+x

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Solution for 41-(4x+15)=4(x+2)+x equation: 


Simplifying
41 + -1(4x + 15) = 4(x + 2) + x

Reorder the terms:
41 + -1(15 + 4x) = 4(x + 2) + x
41 + (15 * -1 + 4x * -1) = 4(x + 2) + x
41 + (-15 + -4x) = 4(x + 2) + x

Combine like terms: 41 + -15 = 26
26 + -4x = 4(x + 2) + x

Reorder the terms:
26 + -4x = 4(2 + x) + x
26 + -4x = (2 * 4 + x * 4) + x
26 + -4x = (8 + 4x) + x

Combine like terms: 4x + x = 5x
26 + -4x = 8 + 5x

Solving
26 + -4x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
26 + -4x + -5x = 8 + 5x + -5x

Combine like terms: -4x + -5x = -9x
26 + -9x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
26 + -9x = 8 + 0
26 + -9x = 8

Add '-26' to each side of the equation.
26 + -26 + -9x = 8 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = 8 + -26
-9x = 8 + -26

Combine like terms: 8 + -26 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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