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

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


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

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

Reorder the terms:
2 + 2x + -3(4 + x) = 10
2 + 2x + (4 * -3 + x * -3) = 10
2 + 2x + (-12 + -3x) = 10

Reorder the terms:
2 + -12 + 2x + -3x = 10

Combine like terms: 2 + -12 = -10
-10 + 2x + -3x = 10

Combine like terms: 2x + -3x = -1x
-10 + -1x = 10

Solving
-10 + -1x = 10

Solving for variable 'x'.

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

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

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

Combine like terms: 10 + 10 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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