3x+12+7x-35=8x+6-10

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Solution for 3x+12+7x-35=8x+6-10 equation:


Simplifying
3x + 12 + 7x + -35 = 8x + 6 + -10

Reorder the terms:
12 + -35 + 3x + 7x = 8x + 6 + -10

Combine like terms: 12 + -35 = -23
-23 + 3x + 7x = 8x + 6 + -10

Combine like terms: 3x + 7x = 10x
-23 + 10x = 8x + 6 + -10

Reorder the terms:
-23 + 10x = 6 + -10 + 8x

Combine like terms: 6 + -10 = -4
-23 + 10x = -4 + 8x

Solving
-23 + 10x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-23 + 10x + -8x = -4 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-23 + 2x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-23 + 2x = -4 + 0
-23 + 2x = -4

Add '23' to each side of the equation.
-23 + 23 + 2x = -4 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = -4 + 23
2x = -4 + 23

Combine like terms: -4 + 23 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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