7(Q-10)+2Q=8(Q-5)-5

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Solution for 7(Q-10)+2Q=8(Q-5)-5 equation: 


Simplifying
7(Q + -10) + 2Q = 8(Q + -5) + -5

Reorder the terms:
7(-10 + Q) + 2Q = 8(Q + -5) + -5
(-10 * 7 + Q * 7) + 2Q = 8(Q + -5) + -5
(-70 + 7Q) + 2Q = 8(Q + -5) + -5

Combine like terms: 7Q + 2Q = 9Q
-70 + 9Q = 8(Q + -5) + -5

Reorder the terms:
-70 + 9Q = 8(-5 + Q) + -5
-70 + 9Q = (-5 * 8 + Q * 8) + -5
-70 + 9Q = (-40 + 8Q) + -5

Reorder the terms:
-70 + 9Q = -40 + -5 + 8Q

Combine like terms: -40 + -5 = -45
-70 + 9Q = -45 + 8Q

Solving
-70 + 9Q = -45 + 8Q

Solving for variable 'Q'.

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

Add '-8Q' to each side of the equation.
-70 + 9Q + -8Q = -45 + 8Q + -8Q

Combine like terms: 9Q + -8Q = 1Q
-70 + 1Q = -45 + 8Q + -8Q

Combine like terms: 8Q + -8Q = 0
-70 + 1Q = -45 + 0
-70 + 1Q = -45

Add '70' to each side of the equation.
-70 + 70 + 1Q = -45 + 70

Combine like terms: -70 + 70 = 0
0 + 1Q = -45 + 70
1Q = -45 + 70

Combine like terms: -45 + 70 = 25
1Q = 25

Divide each side by '1'.
Q = 25

Simplifying
Q = 25

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