2(x+7)-34=4x-11x+6(x-1)

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Solution for 2(x+7)-34=4x-11x+6(x-1) equation:


Simplifying
2(x + 7) + -34 = 4x + -11x + 6(x + -1)

Reorder the terms:
2(7 + x) + -34 = 4x + -11x + 6(x + -1)
(7 * 2 + x * 2) + -34 = 4x + -11x + 6(x + -1)
(14 + 2x) + -34 = 4x + -11x + 6(x + -1)

Reorder the terms:
14 + -34 + 2x = 4x + -11x + 6(x + -1)

Combine like terms: 14 + -34 = -20
-20 + 2x = 4x + -11x + 6(x + -1)

Reorder the terms:
-20 + 2x = 4x + -11x + 6(-1 + x)
-20 + 2x = 4x + -11x + (-1 * 6 + x * 6)
-20 + 2x = 4x + -11x + (-6 + 6x)

Reorder the terms:
-20 + 2x = -6 + 4x + -11x + 6x

Combine like terms: 4x + -11x = -7x
-20 + 2x = -6 + -7x + 6x

Combine like terms: -7x + 6x = -1x
-20 + 2x = -6 + -1x

Solving
-20 + 2x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + 2x + x = -6 + -1x + x

Combine like terms: 2x + x = 3x
-20 + 3x = -6 + -1x + x

Combine like terms: -1x + x = 0
-20 + 3x = -6 + 0
-20 + 3x = -6

Add '20' to each side of the equation.
-20 + 20 + 3x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -6 + 20
3x = -6 + 20

Combine like terms: -6 + 20 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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