100(ax+bx+10)=7000

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Solution for 100(ax+bx+10)=7000 equation: 


Simplifying
100(ax + bx + 10) = 7000

Reorder the terms:
100(10 + ax + bx) = 7000
(10 * 100 + ax * 100 + bx * 100) = 7000
(1000 + 100ax + 100bx) = 7000

Solving
1000 + 100ax + 100bx = 7000

Solving for variable 'a'.

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

Add '-1000' to each side of the equation.
1000 + 100ax + -1000 + 100bx = 7000 + -1000

Reorder the terms:
1000 + -1000 + 100ax + 100bx = 7000 + -1000

Combine like terms: 1000 + -1000 = 0
0 + 100ax + 100bx = 7000 + -1000
100ax + 100bx = 7000 + -1000

Combine like terms: 7000 + -1000 = 6000
100ax + 100bx = 6000

Add '-100bx' to each side of the equation.
100ax + 100bx + -100bx = 6000 + -100bx

Combine like terms: 100bx + -100bx = 0
100ax + 0 = 6000 + -100bx
100ax = 6000 + -100bx

Divide each side by '100x'.
a = 60x-1 + -1b

Simplifying
a = 60x-1 + -1b

Reorder the terms:
a = -1b + 60x-1

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