4(x-8)-2(x-1)+7x=x

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Solution for 4(x-8)-2(x-1)+7x=x equation:


Simplifying
4(x + -8) + -2(x + -1) + 7x = x

Reorder the terms:
4(-8 + x) + -2(x + -1) + 7x = x
(-8 * 4 + x * 4) + -2(x + -1) + 7x = x
(-32 + 4x) + -2(x + -1) + 7x = x

Reorder the terms:
-32 + 4x + -2(-1 + x) + 7x = x
-32 + 4x + (-1 * -2 + x * -2) + 7x = x
-32 + 4x + (2 + -2x) + 7x = x

Reorder the terms:
-32 + 2 + 4x + -2x + 7x = x

Combine like terms: -32 + 2 = -30
-30 + 4x + -2x + 7x = x

Combine like terms: 4x + -2x = 2x
-30 + 2x + 7x = x

Combine like terms: 2x + 7x = 9x
-30 + 9x = x

Solving
-30 + 9x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + 9x + -1x = x + -1x

Combine like terms: 9x + -1x = 8x
-30 + 8x = x + -1x

Combine like terms: x + -1x = 0
-30 + 8x = 0

Add '30' to each side of the equation.
-30 + 30 + 8x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = 0 + 30
8x = 0 + 30

Combine like terms: 0 + 30 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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