8(x-7)+7=7(x-9)

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Solution for 8(x-7)+7=7(x-9) equation:


Simplifying
8(x + -7) + 7 = 7(x + -9)

Reorder the terms:
8(-7 + x) + 7 = 7(x + -9)
(-7 * 8 + x * 8) + 7 = 7(x + -9)
(-56 + 8x) + 7 = 7(x + -9)

Reorder the terms:
-56 + 7 + 8x = 7(x + -9)

Combine like terms: -56 + 7 = -49
-49 + 8x = 7(x + -9)

Reorder the terms:
-49 + 8x = 7(-9 + x)
-49 + 8x = (-9 * 7 + x * 7)
-49 + 8x = (-63 + 7x)

Solving
-49 + 8x = -63 + 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.
-49 + 8x + -7x = -63 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-49 + 1x = -63 + 7x + -7x

Combine like terms: 7x + -7x = 0
-49 + 1x = -63 + 0
-49 + 1x = -63

Add '49' to each side of the equation.
-49 + 49 + 1x = -63 + 49

Combine like terms: -49 + 49 = 0
0 + 1x = -63 + 49
1x = -63 + 49

Combine like terms: -63 + 49 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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