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

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


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

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

Combine like terms: 1 + -56 = -55
-55 + 8x = 7 + -7(x + -4)

Reorder the terms:
-55 + 8x = 7 + -7(-4 + x)
-55 + 8x = 7 + (-4 * -7 + x * -7)
-55 + 8x = 7 + (28 + -7x)

Combine like terms: 7 + 28 = 35
-55 + 8x = 35 + -7x

Solving
-55 + 8x = 35 + -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.
-55 + 8x + 7x = 35 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-55 + 15x = 35 + -7x + 7x

Combine like terms: -7x + 7x = 0
-55 + 15x = 35 + 0
-55 + 15x = 35

Add '55' to each side of the equation.
-55 + 55 + 15x = 35 + 55

Combine like terms: -55 + 55 = 0
0 + 15x = 35 + 55
15x = 35 + 55

Combine like terms: 35 + 55 = 90
15x = 90

Divide each side by '15'.
x = 6

Simplifying
x = 6

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