(x+1)+(3x-4)+(-2x)=7

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Solution for (x+1)+(3x-4)+(-2x)=7 equation:


Simplifying
(x + 1) + (3x + -4) + (-2x) = 7

Reorder the terms:
(1 + x) + (3x + -4) + (-2x) = 7

Remove parenthesis around (1 + x)
1 + x + (3x + -4) + (-2x) = 7

Reorder the terms:
1 + x + (-4 + 3x) + (-2x) = 7

Remove parenthesis around (-4 + 3x)
1 + x + -4 + 3x + (-2x) = 7

Reorder the terms:
1 + -4 + x + 3x + (-2x) = 7

Combine like terms: 1 + -4 = -3
-3 + x + 3x + (-2x) = 7

Combine like terms: x + 3x = 4x
-3 + 4x + (-2x) = 7

Combine like terms: 4x + (-2x) = 2x
-3 + 2x = 7

Solving
-3 + 2x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 7 + 3
2x = 7 + 3

Combine like terms: 7 + 3 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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