(x-7)+3(x-1)=8x+6

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Solution for (x-7)+3(x-1)=8x+6 equation:


Simplifying
(x + -7) + 3(x + -1) = 8x + 6

Reorder the terms:
(-7 + x) + 3(x + -1) = 8x + 6

Remove parenthesis around (-7 + x)
-7 + x + 3(x + -1) = 8x + 6

Reorder the terms:
-7 + x + 3(-1 + x) = 8x + 6
-7 + x + (-1 * 3 + x * 3) = 8x + 6
-7 + x + (-3 + 3x) = 8x + 6

Reorder the terms:
-7 + -3 + x + 3x = 8x + 6

Combine like terms: -7 + -3 = -10
-10 + x + 3x = 8x + 6

Combine like terms: x + 3x = 4x
-10 + 4x = 8x + 6

Reorder the terms:
-10 + 4x = 6 + 8x

Solving
-10 + 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.
-10 + 4x + -8x = 6 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-10 + -4x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -4x = 6 + 0
-10 + -4x = 6

Add '10' to each side of the equation.
-10 + 10 + -4x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 6 + 10
-4x = 6 + 10

Combine like terms: 6 + 10 = 16
-4x = 16

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

Simplifying
x = -4

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