(3x-1)+(2x-7)+(4x+1)=70

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Solution for (3x-1)+(2x-7)+(4x+1)=70 equation:


Simplifying
(3x + -1) + (2x + -7) + (4x + 1) = 70

Reorder the terms:
(-1 + 3x) + (2x + -7) + (4x + 1) = 70

Remove parenthesis around (-1 + 3x)
-1 + 3x + (2x + -7) + (4x + 1) = 70

Reorder the terms:
-1 + 3x + (-7 + 2x) + (4x + 1) = 70

Remove parenthesis around (-7 + 2x)
-1 + 3x + -7 + 2x + (4x + 1) = 70

Reorder the terms:
-1 + 3x + -7 + 2x + (1 + 4x) = 70

Remove parenthesis around (1 + 4x)
-1 + 3x + -7 + 2x + 1 + 4x = 70

Reorder the terms:
-1 + -7 + 1 + 3x + 2x + 4x = 70

Combine like terms: -1 + -7 = -8
-8 + 1 + 3x + 2x + 4x = 70

Combine like terms: -8 + 1 = -7
-7 + 3x + 2x + 4x = 70

Combine like terms: 3x + 2x = 5x
-7 + 5x + 4x = 70

Combine like terms: 5x + 4x = 9x
-7 + 9x = 70

Solving
-7 + 9x = 70

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 9x = 70 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 70 + 7
9x = 70 + 7

Combine like terms: 70 + 7 = 77
9x = 77

Divide each side by '9'.
x = 8.555555556

Simplifying
x = 8.555555556

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