700(4x+7)=407(7x+6)

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Solution for 700(4x+7)=407(7x+6) equation:


Simplifying
700(4x + 7) = 407(7x + 6)

Reorder the terms:
700(7 + 4x) = 407(7x + 6)
(7 * 700 + 4x * 700) = 407(7x + 6)
(4900 + 2800x) = 407(7x + 6)

Reorder the terms:
4900 + 2800x = 407(6 + 7x)
4900 + 2800x = (6 * 407 + 7x * 407)
4900 + 2800x = (2442 + 2849x)

Solving
4900 + 2800x = 2442 + 2849x

Solving for variable 'x'.

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

Add '-2849x' to each side of the equation.
4900 + 2800x + -2849x = 2442 + 2849x + -2849x

Combine like terms: 2800x + -2849x = -49x
4900 + -49x = 2442 + 2849x + -2849x

Combine like terms: 2849x + -2849x = 0
4900 + -49x = 2442 + 0
4900 + -49x = 2442

Add '-4900' to each side of the equation.
4900 + -4900 + -49x = 2442 + -4900

Combine like terms: 4900 + -4900 = 0
0 + -49x = 2442 + -4900
-49x = 2442 + -4900

Combine like terms: 2442 + -4900 = -2458
-49x = -2458

Divide each side by '-49'.
x = 50.16326531

Simplifying
x = 50.16326531

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