-7(20x+44)=28(49+5x)

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Solution for -7(20x+44)=28(49+5x) equation:


Simplifying
-7(20x + 44) = 28(49 + 5x)

Reorder the terms:
-7(44 + 20x) = 28(49 + 5x)
(44 * -7 + 20x * -7) = 28(49 + 5x)
(-308 + -140x) = 28(49 + 5x)
-308 + -140x = (49 * 28 + 5x * 28)
-308 + -140x = (1372 + 140x)

Solving
-308 + -140x = 1372 + 140x

Solving for variable 'x'.

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

Add '-140x' to each side of the equation.
-308 + -140x + -140x = 1372 + 140x + -140x

Combine like terms: -140x + -140x = -280x
-308 + -280x = 1372 + 140x + -140x

Combine like terms: 140x + -140x = 0
-308 + -280x = 1372 + 0
-308 + -280x = 1372

Add '308' to each side of the equation.
-308 + 308 + -280x = 1372 + 308

Combine like terms: -308 + 308 = 0
0 + -280x = 1372 + 308
-280x = 1372 + 308

Combine like terms: 1372 + 308 = 1680
-280x = 1680

Divide each side by '-280'.
x = -6

Simplifying
x = -6

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