46(x-61)=-68(x-4)

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Solution for 46(x-61)=-68(x-4) equation:


Simplifying
46(x + -61) = -68(x + -4)

Reorder the terms:
46(-61 + x) = -68(x + -4)
(-61 * 46 + x * 46) = -68(x + -4)
(-2806 + 46x) = -68(x + -4)

Reorder the terms:
-2806 + 46x = -68(-4 + x)
-2806 + 46x = (-4 * -68 + x * -68)
-2806 + 46x = (272 + -68x)

Solving
-2806 + 46x = 272 + -68x

Solving for variable 'x'.

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

Add '68x' to each side of the equation.
-2806 + 46x + 68x = 272 + -68x + 68x

Combine like terms: 46x + 68x = 114x
-2806 + 114x = 272 + -68x + 68x

Combine like terms: -68x + 68x = 0
-2806 + 114x = 272 + 0
-2806 + 114x = 272

Add '2806' to each side of the equation.
-2806 + 2806 + 114x = 272 + 2806

Combine like terms: -2806 + 2806 = 0
0 + 114x = 272 + 2806
114x = 272 + 2806

Combine like terms: 272 + 2806 = 3078
114x = 3078

Divide each side by '114'.
x = 27

Simplifying
x = 27

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