300(x+5)=700(x-6)

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Solution for 300(x+5)=700(x-6) equation: 


Simplifying
300(x + 5) = 700(x + -6)

Reorder the terms:
300(5 + x) = 700(x + -6)
(5 * 300 + x * 300) = 700(x + -6)
(1500 + 300x) = 700(x + -6)

Reorder the terms:
1500 + 300x = 700(-6 + x)
1500 + 300x = (-6 * 700 + x * 700)
1500 + 300x = (-4200 + 700x)

Solving
1500 + 300x = -4200 + 700x

Solving for variable 'x'.

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

Add '-700x' to each side of the equation.
1500 + 300x + -700x = -4200 + 700x + -700x

Combine like terms: 300x + -700x = -400x
1500 + -400x = -4200 + 700x + -700x

Combine like terms: 700x + -700x = 0
1500 + -400x = -4200 + 0
1500 + -400x = -4200

Add '-1500' to each side of the equation.
1500 + -1500 + -400x = -4200 + -1500

Combine like terms: 1500 + -1500 = 0
0 + -400x = -4200 + -1500
-400x = -4200 + -1500

Combine like terms: -4200 + -1500 = -5700
-400x = -5700

Divide each side by '-400'.
x = 14.25

Simplifying
x = 14.25

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