(7x+1)+(4x-2)=10

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Solution for (7x+1)+(4x-2)=10 equation:


Simplifying
(7x + 1) + (4x + -2) = 10

Reorder the terms:
(1 + 7x) + (4x + -2) = 10

Remove parenthesis around (1 + 7x)
1 + 7x + (4x + -2) = 10

Reorder the terms:
1 + 7x + (-2 + 4x) = 10

Remove parenthesis around (-2 + 4x)
1 + 7x + -2 + 4x = 10

Reorder the terms:
1 + -2 + 7x + 4x = 10

Combine like terms: 1 + -2 = -1
-1 + 7x + 4x = 10

Combine like terms: 7x + 4x = 11x
-1 + 11x = 10

Solving
-1 + 11x = 10

Solving for variable 'x'.

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

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

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

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

Divide each side by '11'.
x = 1

Simplifying
x = 1

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