2(2x+17)=7x-14

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Solution for 2(2x+17)=7x-14 equation:


Simplifying
2(2x + 17) = 7x + -14

Reorder the terms:
2(17 + 2x) = 7x + -14
(17 * 2 + 2x * 2) = 7x + -14
(34 + 4x) = 7x + -14

Reorder the terms:
34 + 4x = -14 + 7x

Solving
34 + 4x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
34 + 4x + -7x = -14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
34 + -3x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
34 + -3x = -14 + 0
34 + -3x = -14

Add '-34' to each side of the equation.
34 + -34 + -3x = -14 + -34

Combine like terms: 34 + -34 = 0
0 + -3x = -14 + -34
-3x = -14 + -34

Combine like terms: -14 + -34 = -48
-3x = -48

Divide each side by '-3'.
x = 16

Simplifying
x = 16

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