8(2x+1)-(x+3)=35

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Solution for 8(2x+1)-(x+3)=35 equation:


Simplifying
8(2x + 1) + -1(x + 3) = 35

Reorder the terms:
8(1 + 2x) + -1(x + 3) = 35
(1 * 8 + 2x * 8) + -1(x + 3) = 35
(8 + 16x) + -1(x + 3) = 35

Reorder the terms:
8 + 16x + -1(3 + x) = 35
8 + 16x + (3 * -1 + x * -1) = 35
8 + 16x + (-3 + -1x) = 35

Reorder the terms:
8 + -3 + 16x + -1x = 35

Combine like terms: 8 + -3 = 5
5 + 16x + -1x = 35

Combine like terms: 16x + -1x = 15x
5 + 15x = 35

Solving
5 + 15x = 35

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 15x = 35 + -5

Combine like terms: 5 + -5 = 0
0 + 15x = 35 + -5
15x = 35 + -5

Combine like terms: 35 + -5 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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