5+8(x-2)=7(x-8)

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Solution for 5+8(x-2)=7(x-8) equation:


Simplifying
5 + 8(x + -2) = 7(x + -8)

Reorder the terms:
5 + 8(-2 + x) = 7(x + -8)
5 + (-2 * 8 + x * 8) = 7(x + -8)
5 + (-16 + 8x) = 7(x + -8)

Combine like terms: 5 + -16 = -11
-11 + 8x = 7(x + -8)

Reorder the terms:
-11 + 8x = 7(-8 + x)
-11 + 8x = (-8 * 7 + x * 7)
-11 + 8x = (-56 + 7x)

Solving
-11 + 8x = -56 + 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.
-11 + 8x + -7x = -56 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-11 + 1x = -56 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + 1x = -56 + 0
-11 + 1x = -56

Add '11' to each side of the equation.
-11 + 11 + 1x = -56 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -56 + 11
1x = -56 + 11

Combine like terms: -56 + 11 = -45
1x = -45

Divide each side by '1'.
x = -45

Simplifying
x = -45

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