8(2x+3)-(10x-5)=35

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Solution for 8(2x+3)-(10x-5)=35 equation:


Simplifying
8(2x + 3) + -1(10x + -5) = 35

Reorder the terms:
8(3 + 2x) + -1(10x + -5) = 35
(3 * 8 + 2x * 8) + -1(10x + -5) = 35
(24 + 16x) + -1(10x + -5) = 35

Reorder the terms:
24 + 16x + -1(-5 + 10x) = 35
24 + 16x + (-5 * -1 + 10x * -1) = 35
24 + 16x + (5 + -10x) = 35

Reorder the terms:
24 + 5 + 16x + -10x = 35

Combine like terms: 24 + 5 = 29
29 + 16x + -10x = 35

Combine like terms: 16x + -10x = 6x
29 + 6x = 35

Solving
29 + 6x = 35

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 6x = 35 + -29

Combine like terms: 29 + -29 = 0
0 + 6x = 35 + -29
6x = 35 + -29

Combine like terms: 35 + -29 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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