3(x+1)+4(2-x)=10

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Solution for 3(x+1)+4(2-x)=10 equation: 


Simplifying
3(x + 1) + 4(2 + -1x) = 10

Reorder the terms:
3(1 + x) + 4(2 + -1x) = 10
(1 * 3 + x * 3) + 4(2 + -1x) = 10
(3 + 3x) + 4(2 + -1x) = 10
3 + 3x + (2 * 4 + -1x * 4) = 10
3 + 3x + (8 + -4x) = 10

Reorder the terms:
3 + 8 + 3x + -4x = 10

Combine like terms: 3 + 8 = 11
11 + 3x + -4x = 10

Combine like terms: 3x + -4x = -1x
11 + -1x = 10

Solving
11 + -1x = 10

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 10 + -11
-1x = 10 + -11

Combine like terms: 10 + -11 = -1
-1x = -1

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

Simplifying
x = 1

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