4+8(x-3)=7-8(x-1)

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Solution for 4+8(x-3)=7-8(x-1) equation:


Simplifying
4 + 8(x + -3) = 7 + -8(x + -1)

Reorder the terms:
4 + 8(-3 + x) = 7 + -8(x + -1)
4 + (-3 * 8 + x * 8) = 7 + -8(x + -1)
4 + (-24 + 8x) = 7 + -8(x + -1)

Combine like terms: 4 + -24 = -20
-20 + 8x = 7 + -8(x + -1)

Reorder the terms:
-20 + 8x = 7 + -8(-1 + x)
-20 + 8x = 7 + (-1 * -8 + x * -8)
-20 + 8x = 7 + (8 + -8x)

Combine like terms: 7 + 8 = 15
-20 + 8x = 15 + -8x

Solving
-20 + 8x = 15 + -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.
-20 + 8x + 8x = 15 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-20 + 16x = 15 + -8x + 8x

Combine like terms: -8x + 8x = 0
-20 + 16x = 15 + 0
-20 + 16x = 15

Add '20' to each side of the equation.
-20 + 20 + 16x = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 16x = 15 + 20
16x = 15 + 20

Combine like terms: 15 + 20 = 35
16x = 35

Divide each side by '16'.
x = 2.1875

Simplifying
x = 2.1875

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