x+3(x-1)=32-3x

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Solution for x+3(x-1)=32-3x equation:


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

Reorder the terms:
x + 3(-1 + x) = 32 + -3x
x + (-1 * 3 + x * 3) = 32 + -3x
x + (-3 + 3x) = 32 + -3x

Reorder the terms:
-3 + x + 3x = 32 + -3x

Combine like terms: x + 3x = 4x
-3 + 4x = 32 + -3x

Solving
-3 + 4x = 32 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-3 + 4x + 3x = 32 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-3 + 7x = 32 + 0
-3 + 7x = 32

Add '3' to each side of the equation.
-3 + 3 + 7x = 32 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 32 + 3
7x = 32 + 3

Combine like terms: 32 + 3 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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