x+14=8(x-7)

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Solution for x+14=8(x-7) equation:


Simplifying
x + 14 = 8(x + -7)

Reorder the terms:
14 + x = 8(x + -7)

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

Solving
14 + x = -56 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + x + -8x = -56 + 8x + -8x

Combine like terms: x + -8x = -7x
14 + -7x = -56 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -7x = -56 + 0
14 + -7x = -56

Add '-14' to each side of the equation.
14 + -14 + -7x = -56 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = -56 + -14
-7x = -56 + -14

Combine like terms: -56 + -14 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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