3(1+2x)+7(5-x)=32

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Solution for 3(1+2x)+7(5-x)=32 equation: 


Simplifying
3(1 + 2x) + 7(5 + -1x) = 32
(1 * 3 + 2x * 3) + 7(5 + -1x) = 32
(3 + 6x) + 7(5 + -1x) = 32
3 + 6x + (5 * 7 + -1x * 7) = 32
3 + 6x + (35 + -7x) = 32

Reorder the terms:
3 + 35 + 6x + -7x = 32

Combine like terms: 3 + 35 = 38
38 + 6x + -7x = 32

Combine like terms: 6x + -7x = -1x
38 + -1x = 32

Solving
38 + -1x = 32

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + -1x = 32 + -38

Combine like terms: 38 + -38 = 0
0 + -1x = 32 + -38
-1x = 32 + -38

Combine like terms: 32 + -38 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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