x-83=8(2x+3)-2

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Solution for x-83=8(2x+3)-2 equation:


Simplifying
x + -83 = 8(2x + 3) + -2

Reorder the terms:
-83 + x = 8(2x + 3) + -2

Reorder the terms:
-83 + x = 8(3 + 2x) + -2
-83 + x = (3 * 8 + 2x * 8) + -2
-83 + x = (24 + 16x) + -2

Reorder the terms:
-83 + x = 24 + -2 + 16x

Combine like terms: 24 + -2 = 22
-83 + x = 22 + 16x

Solving
-83 + x = 22 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-83 + x + -16x = 22 + 16x + -16x

Combine like terms: x + -16x = -15x
-83 + -15x = 22 + 16x + -16x

Combine like terms: 16x + -16x = 0
-83 + -15x = 22 + 0
-83 + -15x = 22

Add '83' to each side of the equation.
-83 + 83 + -15x = 22 + 83

Combine like terms: -83 + 83 = 0
0 + -15x = 22 + 83
-15x = 22 + 83

Combine like terms: 22 + 83 = 105
-15x = 105

Divide each side by '-15'.
x = -7

Simplifying
x = -7

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