8+3x+30=7(5x+2)-8

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Solution for 8+3x+30=7(5x+2)-8 equation:


Simplifying
8 + 3x + 30 = 7(5x + 2) + -8

Reorder the terms:
8 + 30 + 3x = 7(5x + 2) + -8

Combine like terms: 8 + 30 = 38
38 + 3x = 7(5x + 2) + -8

Reorder the terms:
38 + 3x = 7(2 + 5x) + -8
38 + 3x = (2 * 7 + 5x * 7) + -8
38 + 3x = (14 + 35x) + -8

Reorder the terms:
38 + 3x = 14 + -8 + 35x

Combine like terms: 14 + -8 = 6
38 + 3x = 6 + 35x

Solving
38 + 3x = 6 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
38 + 3x + -35x = 6 + 35x + -35x

Combine like terms: 3x + -35x = -32x
38 + -32x = 6 + 35x + -35x

Combine like terms: 35x + -35x = 0
38 + -32x = 6 + 0
38 + -32x = 6

Add '-38' to each side of the equation.
38 + -38 + -32x = 6 + -38

Combine like terms: 38 + -38 = 0
0 + -32x = 6 + -38
-32x = 6 + -38

Combine like terms: 6 + -38 = -32
-32x = -32

Divide each side by '-32'.
x = 1

Simplifying
x = 1

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