41-3(3+x)=(x+1)*5-53

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Solution for 41-3(3+x)=(x+1)*5-53 equation: 


Simplifying
41 + -3(3 + x) = (x + 1) * 5 + -53
41 + (3 * -3 + x * -3) = (x + 1) * 5 + -53
41 + (-9 + -3x) = (x + 1) * 5 + -53

Combine like terms: 41 + -9 = 32
32 + -3x = (x + 1) * 5 + -53

Reorder the terms:
32 + -3x = (1 + x) * 5 + -53

Reorder the terms for easier multiplication:
32 + -3x = 5(1 + x) + -53
32 + -3x = (1 * 5 + x * 5) + -53
32 + -3x = (5 + 5x) + -53

Reorder the terms:
32 + -3x = 5 + -53 + 5x

Combine like terms: 5 + -53 = -48
32 + -3x = -48 + 5x

Solving
32 + -3x = -48 + 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.
32 + -3x + -5x = -48 + 5x + -5x

Combine like terms: -3x + -5x = -8x
32 + -8x = -48 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -8x = -48 + 0
32 + -8x = -48

Add '-32' to each side of the equation.
32 + -32 + -8x = -48 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -48 + -32
-8x = -48 + -32

Combine like terms: -48 + -32 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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