4(x-7)=8x+6

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Solution for 4(x-7)=8x+6 equation:


Simplifying
4(x + -7) = 8x + 6

Reorder the terms:
4(-7 + x) = 8x + 6
(-7 * 4 + x * 4) = 8x + 6
(-28 + 4x) = 8x + 6

Reorder the terms:
-28 + 4x = 6 + 8x

Solving
-28 + 4x = 6 + 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.
-28 + 4x + -8x = 6 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-28 + -4x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-28 + -4x = 6 + 0
-28 + -4x = 6

Add '28' to each side of the equation.
-28 + 28 + -4x = 6 + 28

Combine like terms: -28 + 28 = 0
0 + -4x = 6 + 28
-4x = 6 + 28

Combine like terms: 6 + 28 = 34
-4x = 34

Divide each side by '-4'.
x = -8.5

Simplifying
x = -8.5

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