8+7(x-8)=1-6(x-4)

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Solution for 8+7(x-8)=1-6(x-4) equation:


Simplifying
8 + 7(x + -8) = 1 + -6(x + -4)

Reorder the terms:
8 + 7(-8 + x) = 1 + -6(x + -4)
8 + (-8 * 7 + x * 7) = 1 + -6(x + -4)
8 + (-56 + 7x) = 1 + -6(x + -4)

Combine like terms: 8 + -56 = -48
-48 + 7x = 1 + -6(x + -4)

Reorder the terms:
-48 + 7x = 1 + -6(-4 + x)
-48 + 7x = 1 + (-4 * -6 + x * -6)
-48 + 7x = 1 + (24 + -6x)

Combine like terms: 1 + 24 = 25
-48 + 7x = 25 + -6x

Solving
-48 + 7x = 25 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-48 + 7x + 6x = 25 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-48 + 13x = 25 + -6x + 6x

Combine like terms: -6x + 6x = 0
-48 + 13x = 25 + 0
-48 + 13x = 25

Add '48' to each side of the equation.
-48 + 48 + 13x = 25 + 48

Combine like terms: -48 + 48 = 0
0 + 13x = 25 + 48
13x = 25 + 48

Combine like terms: 25 + 48 = 73
13x = 73

Divide each side by '13'.
x = 5.615384615

Simplifying
x = 5.615384615

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