34x-20(x+2)=7x-4(x-7)

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Solution for 34x-20(x+2)=7x-4(x-7) equation:


Simplifying
34x + -20(x + 2) = 7x + -4(x + -7)

Reorder the terms:
34x + -20(2 + x) = 7x + -4(x + -7)
34x + (2 * -20 + x * -20) = 7x + -4(x + -7)
34x + (-40 + -20x) = 7x + -4(x + -7)

Reorder the terms:
-40 + 34x + -20x = 7x + -4(x + -7)

Combine like terms: 34x + -20x = 14x
-40 + 14x = 7x + -4(x + -7)

Reorder the terms:
-40 + 14x = 7x + -4(-7 + x)
-40 + 14x = 7x + (-7 * -4 + x * -4)
-40 + 14x = 7x + (28 + -4x)

Reorder the terms:
-40 + 14x = 28 + 7x + -4x

Combine like terms: 7x + -4x = 3x
-40 + 14x = 28 + 3x

Solving
-40 + 14x = 28 + 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.
-40 + 14x + -3x = 28 + 3x + -3x

Combine like terms: 14x + -3x = 11x
-40 + 11x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 11x = 28 + 0
-40 + 11x = 28

Add '40' to each side of the equation.
-40 + 40 + 11x = 28 + 40

Combine like terms: -40 + 40 = 0
0 + 11x = 28 + 40
11x = 28 + 40

Combine like terms: 28 + 40 = 68
11x = 68

Divide each side by '11'.
x = 6.181818182

Simplifying
x = 6.181818182

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