75(x-16)=-2(x-3)+4

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Solution for 75(x-16)=-2(x-3)+4 equation:


Simplifying
75(x + -16) = -2(x + -3) + 4

Reorder the terms:
75(-16 + x) = -2(x + -3) + 4
(-16 * 75 + x * 75) = -2(x + -3) + 4
(-1200 + 75x) = -2(x + -3) + 4

Reorder the terms:
-1200 + 75x = -2(-3 + x) + 4
-1200 + 75x = (-3 * -2 + x * -2) + 4
-1200 + 75x = (6 + -2x) + 4

Reorder the terms:
-1200 + 75x = 6 + 4 + -2x

Combine like terms: 6 + 4 = 10
-1200 + 75x = 10 + -2x

Solving
-1200 + 75x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-1200 + 75x + 2x = 10 + -2x + 2x

Combine like terms: 75x + 2x = 77x
-1200 + 77x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1200 + 77x = 10 + 0
-1200 + 77x = 10

Add '1200' to each side of the equation.
-1200 + 1200 + 77x = 10 + 1200

Combine like terms: -1200 + 1200 = 0
0 + 77x = 10 + 1200
77x = 10 + 1200

Combine like terms: 10 + 1200 = 1210
77x = 1210

Divide each side by '77'.
x = 15.71428571

Simplifying
x = 15.71428571

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