10x+22-5=8(4x+7)

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Solution for 10x+22-5=8(4x+7) equation:


Simplifying
10x + 22 + -5 = 8(4x + 7)

Reorder the terms:
22 + -5 + 10x = 8(4x + 7)

Combine like terms: 22 + -5 = 17
17 + 10x = 8(4x + 7)

Reorder the terms:
17 + 10x = 8(7 + 4x)
17 + 10x = (7 * 8 + 4x * 8)
17 + 10x = (56 + 32x)

Solving
17 + 10x = 56 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
17 + 10x + -32x = 56 + 32x + -32x

Combine like terms: 10x + -32x = -22x
17 + -22x = 56 + 32x + -32x

Combine like terms: 32x + -32x = 0
17 + -22x = 56 + 0
17 + -22x = 56

Add '-17' to each side of the equation.
17 + -17 + -22x = 56 + -17

Combine like terms: 17 + -17 = 0
0 + -22x = 56 + -17
-22x = 56 + -17

Combine like terms: 56 + -17 = 39
-22x = 39

Divide each side by '-22'.
x = -1.772727273

Simplifying
x = -1.772727273

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