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

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


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

Reorder the terms:
3(-1 + 3x) = 8x + -7
(-1 * 3 + 3x * 3) = 8x + -7
(-3 + 9x) = 8x + -7

Reorder the terms:
-3 + 9x = -7 + 8x

Solving
-3 + 9x = -7 + 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.
-3 + 9x + -8x = -7 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-3 + 1x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + 1x = -7 + 0
-3 + 1x = -7

Add '3' to each side of the equation.
-3 + 3 + 1x = -7 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -7 + 3
1x = -7 + 3

Combine like terms: -7 + 3 = -4
1x = -4

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

Simplifying
x = -4

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