4x-(x+6)=8x+51

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Solution for 4x-(x+6)=8x+51 equation:


Simplifying
4x + -1(x + 6) = 8x + 51

Reorder the terms:
4x + -1(6 + x) = 8x + 51
4x + (6 * -1 + x * -1) = 8x + 51
4x + (-6 + -1x) = 8x + 51

Reorder the terms:
-6 + 4x + -1x = 8x + 51

Combine like terms: 4x + -1x = 3x
-6 + 3x = 8x + 51

Reorder the terms:
-6 + 3x = 51 + 8x

Solving
-6 + 3x = 51 + 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 + 3x + -8x = 51 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-6 + -5x = 51 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -5x = 51 + 0
-6 + -5x = 51

Add '6' to each side of the equation.
-6 + 6 + -5x = 51 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 51 + 6
-5x = 51 + 6

Combine like terms: 51 + 6 = 57
-5x = 57

Divide each side by '-5'.
x = -11.4

Simplifying
x = -11.4

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