32=(x*7)-(x*3)

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Solution for 32=(x*7)-(x*3) equation:


Simplifying
32 = (x * 7) + -1(x * 3)

Reorder the terms for easier multiplication:
32 = (7x) + -1(x * 3)

Reorder the terms for easier multiplication:
32 = (7x) + -1(3x)

Remove parenthesis around (3x)
32 = (7x) + -1 * 3x

Multiply -1 * 3
32 = (7x) + -3x

Combine like terms: (7x) + -3x = 4x
32 = 4x

Solving
32 = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
32 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
32 + -4x = 0

Add '-32' to each side of the equation.
32 + -32 + -4x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 0 + -32
-4x = 0 + -32

Combine like terms: 0 + -32 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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