6x=4(x-7)+17

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


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

Reorder the terms:
6x = 4(-7 + x) + 17
6x = (-7 * 4 + x * 4) + 17
6x = (-28 + 4x) + 17

Reorder the terms:
6x = -28 + 17 + 4x

Combine like terms: -28 + 17 = -11
6x = -11 + 4x

Solving
6x = -11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6x + -4x = -11 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
2x = -11 + 0
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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