7x-2=8(x-3)

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


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

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

Reorder the terms:
-2 + 7x = 8(-3 + x)
-2 + 7x = (-3 * 8 + x * 8)
-2 + 7x = (-24 + 8x)

Solving
-2 + 7x = -24 + 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.
-2 + 7x + -8x = -24 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-2 + -1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -1x = -24 + 0
-2 + -1x = -24

Add '2' to each side of the equation.
-2 + 2 + -1x = -24 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -24 + 2
-1x = -24 + 2

Combine like terms: -24 + 2 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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