x+6=4(2x-5)

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Solution for x+6=4(2x-5) equation:


Simplifying
x + 6 = 4(2x + -5)

Reorder the terms:
6 + x = 4(2x + -5)

Reorder the terms:
6 + x = 4(-5 + 2x)
6 + x = (-5 * 4 + 2x * 4)
6 + x = (-20 + 8x)

Solving
6 + x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + x + -8x = -20 + 8x + -8x

Combine like terms: x + -8x = -7x
6 + -7x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -7x = -20 + 0
6 + -7x = -20

Add '-6' to each side of the equation.
6 + -6 + -7x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -20 + -6
-7x = -20 + -6

Combine like terms: -20 + -6 = -26
-7x = -26

Divide each side by '-7'.
x = 3.714285714

Simplifying
x = 3.714285714

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