8(x-3)+7=5x-22

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Solution for 8(x-3)+7=5x-22 equation:


Simplifying
8(x + -3) + 7 = 5x + -22

Reorder the terms:
8(-3 + x) + 7 = 5x + -22
(-3 * 8 + x * 8) + 7 = 5x + -22
(-24 + 8x) + 7 = 5x + -22

Reorder the terms:
-24 + 7 + 8x = 5x + -22

Combine like terms: -24 + 7 = -17
-17 + 8x = 5x + -22

Reorder the terms:
-17 + 8x = -22 + 5x

Solving
-17 + 8x = -22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-17 + 8x + -5x = -22 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-17 + 3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-17 + 3x = -22 + 0
-17 + 3x = -22

Add '17' to each side of the equation.
-17 + 17 + 3x = -22 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = -22 + 17
3x = -22 + 17

Combine like terms: -22 + 17 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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