x-4=8(x-31)

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Solution for x-4=8(x-31) equation:


Simplifying
x + -4 = 8(x + -31)

Reorder the terms:
-4 + x = 8(x + -31)

Reorder the terms:
-4 + x = 8(-31 + x)
-4 + x = (-31 * 8 + x * 8)
-4 + x = (-248 + 8x)

Solving
-4 + x = -248 + 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.
-4 + x + -8x = -248 + 8x + -8x

Combine like terms: x + -8x = -7x
-4 + -7x = -248 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -7x = -248 + 0
-4 + -7x = -248

Add '4' to each side of the equation.
-4 + 4 + -7x = -248 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = -248 + 4
-7x = -248 + 4

Combine like terms: -248 + 4 = -244
-7x = -244

Divide each side by '-7'.
x = 34.85714286

Simplifying
x = 34.85714286

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