3+8(x-2)=6-8(x-7)

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Solution for 3+8(x-2)=6-8(x-7) equation:


Simplifying
3 + 8(x + -2) = 6 + -8(x + -7)

Reorder the terms:
3 + 8(-2 + x) = 6 + -8(x + -7)
3 + (-2 * 8 + x * 8) = 6 + -8(x + -7)
3 + (-16 + 8x) = 6 + -8(x + -7)

Combine like terms: 3 + -16 = -13
-13 + 8x = 6 + -8(x + -7)

Reorder the terms:
-13 + 8x = 6 + -8(-7 + x)
-13 + 8x = 6 + (-7 * -8 + x * -8)
-13 + 8x = 6 + (56 + -8x)

Combine like terms: 6 + 56 = 62
-13 + 8x = 62 + -8x

Solving
-13 + 8x = 62 + -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.
-13 + 8x + 8x = 62 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-13 + 16x = 62 + -8x + 8x

Combine like terms: -8x + 8x = 0
-13 + 16x = 62 + 0
-13 + 16x = 62

Add '13' to each side of the equation.
-13 + 13 + 16x = 62 + 13

Combine like terms: -13 + 13 = 0
0 + 16x = 62 + 13
16x = 62 + 13

Combine like terms: 62 + 13 = 75
16x = 75

Divide each side by '16'.
x = 4.6875

Simplifying
x = 4.6875

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