4(-2x+32)+3y=78

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Solution for 4(-2x+32)+3y=78 equation:


Simplifying
4(-2x + 32) + 3y = 78

Reorder the terms:
4(32 + -2x) + 3y = 78
(32 * 4 + -2x * 4) + 3y = 78
(128 + -8x) + 3y = 78

Solving
128 + -8x + 3y = 78

Solving for variable 'x'.

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

Add '-128' to each side of the equation.
128 + -8x + -128 + 3y = 78 + -128

Reorder the terms:
128 + -128 + -8x + 3y = 78 + -128

Combine like terms: 128 + -128 = 0
0 + -8x + 3y = 78 + -128
-8x + 3y = 78 + -128

Combine like terms: 78 + -128 = -50
-8x + 3y = -50

Add '-3y' to each side of the equation.
-8x + 3y + -3y = -50 + -3y

Combine like terms: 3y + -3y = 0
-8x + 0 = -50 + -3y
-8x = -50 + -3y

Divide each side by '-8'.
x = 6.25 + 0.375y

Simplifying
x = 6.25 + 0.375y

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