1+4(x+8)=85-2(x+10)+16

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Solution for 1+4(x+8)=85-2(x+10)+16 equation: 


Simplifying
1 + 4(x + 8) = 85 + -2(x + 10) + 16

Reorder the terms:
1 + 4(8 + x) = 85 + -2(x + 10) + 16
1 + (8 * 4 + x * 4) = 85 + -2(x + 10) + 16
1 + (32 + 4x) = 85 + -2(x + 10) + 16

Combine like terms: 1 + 32 = 33
33 + 4x = 85 + -2(x + 10) + 16

Reorder the terms:
33 + 4x = 85 + -2(10 + x) + 16
33 + 4x = 85 + (10 * -2 + x * -2) + 16
33 + 4x = 85 + (-20 + -2x) + 16

Reorder the terms:
33 + 4x = 85 + -20 + 16 + -2x

Combine like terms: 85 + -20 = 65
33 + 4x = 65 + 16 + -2x

Combine like terms: 65 + 16 = 81
33 + 4x = 81 + -2x

Solving
33 + 4x = 81 + -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.
33 + 4x + 2x = 81 + -2x + 2x

Combine like terms: 4x + 2x = 6x
33 + 6x = 81 + -2x + 2x

Combine like terms: -2x + 2x = 0
33 + 6x = 81 + 0
33 + 6x = 81

Add '-33' to each side of the equation.
33 + -33 + 6x = 81 + -33

Combine like terms: 33 + -33 = 0
0 + 6x = 81 + -33
6x = 81 + -33

Combine like terms: 81 + -33 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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