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solve equation
6x+3x+8=35
12w-5-3w=40

Simplifying
6x + 3x + 8 = 35

Reorder the terms:
8 + 6x + 3x = 35

Combine like terms: 6x + 3x = 9x
8 + 9x = 35

Solving
8 + 9x = 35

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 9x = 35 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 35 + -8
9x = 35 + -8

Combine like terms: 35 + -8 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

Simplifying
12w + -5 + -3w = 40

Reorder the terms:
-5 + 12w + -3w = 40

Combine like terms: 12w + -3w = 9w
-5 + 9w = 40

Solving
-5 + 9w = 40

Solving for variable 'w'.

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

Add '5' to each side of the equation.
-5 + 5 + 9w = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 9w = 40 + 5
9w = 40 + 5

Combine like terms: 40 + 5 = 45
9w = 45

Divide each side by '9'.
w = 5

Simplifying
w = 5
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6x + 3x + 8 = 35

First add the variables

9x + 8 = 35

Then isolate the variable by subtracting both sides by 8

9x = 27

No divide by 9 to find the value of x

X = 3

12w - 5 -3w =40 Subtract the variables
9w - 5 = 40 Add the 5 to both sides

9w = 45 Divide by 9 both sides
w = 5