1+7(x-7)=5-6(x-5)

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Solution for 1+7(x-7)=5-6(x-5) equation:


Simplifying
1 + 7(x + -7) = 5 + -6(x + -5)

Reorder the terms:
1 + 7(-7 + x) = 5 + -6(x + -5)
1 + (-7 * 7 + x * 7) = 5 + -6(x + -5)
1 + (-49 + 7x) = 5 + -6(x + -5)

Combine like terms: 1 + -49 = -48
-48 + 7x = 5 + -6(x + -5)

Reorder the terms:
-48 + 7x = 5 + -6(-5 + x)
-48 + 7x = 5 + (-5 * -6 + x * -6)
-48 + 7x = 5 + (30 + -6x)

Combine like terms: 5 + 30 = 35
-48 + 7x = 35 + -6x

Solving
-48 + 7x = 35 + -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 = 35 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-48 + 13x = 35 + -6x + 6x

Combine like terms: -6x + 6x = 0
-48 + 13x = 35 + 0
-48 + 13x = 35

Add '48' to each side of the equation.
-48 + 48 + 13x = 35 + 48

Combine like terms: -48 + 48 = 0
0 + 13x = 35 + 48
13x = 35 + 48

Combine like terms: 35 + 48 = 83
13x = 83

Divide each side by '13'.
x = 6.384615385

Simplifying
x = 6.384615385

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