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

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


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

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

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

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

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

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

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

Combine like terms: -7x + 4x = -3x
-20 + 2x = -4 + -3x

Solving
-20 + 2x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 2x + 3x = -4 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-20 + 5x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 5x = -4 + 0
-20 + 5x = -4

Add '20' to each side of the equation.
-20 + 20 + 5x = -4 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = -4 + 20
5x = -4 + 20

Combine like terms: -4 + 20 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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