7x-32=10-2(3+x)

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Solution for 7x-32=10-2(3+x) equation:


Simplifying
7x + -32 = 10 + -2(3 + x)

Reorder the terms:
-32 + 7x = 10 + -2(3 + x)
-32 + 7x = 10 + (3 * -2 + x * -2)
-32 + 7x = 10 + (-6 + -2x)

Combine like terms: 10 + -6 = 4
-32 + 7x = 4 + -2x

Solving
-32 + 7x = 4 + -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.
-32 + 7x + 2x = 4 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-32 + 9x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-32 + 9x = 4 + 0
-32 + 9x = 4

Add '32' to each side of the equation.
-32 + 32 + 9x = 4 + 32

Combine like terms: -32 + 32 = 0
0 + 9x = 4 + 32
9x = 4 + 32

Combine like terms: 4 + 32 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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