(3x+4)+(4x-7)=11

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Solution for (3x+4)+(4x-7)=11 equation:


Simplifying
(3x + 4) + (4x + -7) = 11

Reorder the terms:
(4 + 3x) + (4x + -7) = 11

Remove parenthesis around (4 + 3x)
4 + 3x + (4x + -7) = 11

Reorder the terms:
4 + 3x + (-7 + 4x) = 11

Remove parenthesis around (-7 + 4x)
4 + 3x + -7 + 4x = 11

Reorder the terms:
4 + -7 + 3x + 4x = 11

Combine like terms: 4 + -7 = -3
-3 + 3x + 4x = 11

Combine like terms: 3x + 4x = 7x
-3 + 7x = 11

Solving
-3 + 7x = 11

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 + 7x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 11 + 3
7x = 11 + 3

Combine like terms: 11 + 3 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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