3+7(x-8)=4-7(x-1)

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Solution for 3+7(x-8)=4-7(x-1) equation:


Simplifying
3 + 7(x + -8) = 4 + -7(x + -1)

Reorder the terms:
3 + 7(-8 + x) = 4 + -7(x + -1)
3 + (-8 * 7 + x * 7) = 4 + -7(x + -1)
3 + (-56 + 7x) = 4 + -7(x + -1)

Combine like terms: 3 + -56 = -53
-53 + 7x = 4 + -7(x + -1)

Reorder the terms:
-53 + 7x = 4 + -7(-1 + x)
-53 + 7x = 4 + (-1 * -7 + x * -7)
-53 + 7x = 4 + (7 + -7x)

Combine like terms: 4 + 7 = 11
-53 + 7x = 11 + -7x

Solving
-53 + 7x = 11 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-53 + 7x + 7x = 11 + -7x + 7x

Combine like terms: 7x + 7x = 14x
-53 + 14x = 11 + -7x + 7x

Combine like terms: -7x + 7x = 0
-53 + 14x = 11 + 0
-53 + 14x = 11

Add '53' to each side of the equation.
-53 + 53 + 14x = 11 + 53

Combine like terms: -53 + 53 = 0
0 + 14x = 11 + 53
14x = 11 + 53

Combine like terms: 11 + 53 = 64
14x = 64

Divide each side by '14'.
x = 4.571428571

Simplifying
x = 4.571428571

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