2(7x+4)=4x-6(2-x)+17

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Solution for 2(7x+4)=4x-6(2-x)+17 equation:


Simplifying
2(7x + 4) = 4x + -6(2 + -1x) + 17

Reorder the terms:
2(4 + 7x) = 4x + -6(2 + -1x) + 17
(4 * 2 + 7x * 2) = 4x + -6(2 + -1x) + 17
(8 + 14x) = 4x + -6(2 + -1x) + 17
8 + 14x = 4x + (2 * -6 + -1x * -6) + 17
8 + 14x = 4x + (-12 + 6x) + 17

Reorder the terms:
8 + 14x = -12 + 17 + 4x + 6x

Combine like terms: -12 + 17 = 5
8 + 14x = 5 + 4x + 6x

Combine like terms: 4x + 6x = 10x
8 + 14x = 5 + 10x

Solving
8 + 14x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + 14x + -10x = 5 + 10x + -10x

Combine like terms: 14x + -10x = 4x
8 + 4x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + 4x = 5 + 0
8 + 4x = 5

Add '-8' to each side of the equation.
8 + -8 + 4x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 5 + -8
4x = 5 + -8

Combine like terms: 5 + -8 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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