7x-4=8(x-1)

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


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

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

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

Solving
-4 + 7x = -8 + 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 + 7x + -8x = -8 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-4 + -1x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -1x = -8 + 0
-4 + -1x = -8

Add '4' to each side of the equation.
-4 + 4 + -1x = -8 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -8 + 4
-1x = -8 + 4

Combine like terms: -8 + 4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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