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

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


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

Reorder the terms:
3(-3 + x) = 4(x + -1) + 8
(-3 * 3 + x * 3) = 4(x + -1) + 8
(-9 + 3x) = 4(x + -1) + 8

Reorder the terms:
-9 + 3x = 4(-1 + x) + 8
-9 + 3x = (-1 * 4 + x * 4) + 8
-9 + 3x = (-4 + 4x) + 8

Reorder the terms:
-9 + 3x = -4 + 8 + 4x

Combine like terms: -4 + 8 = 4
-9 + 3x = 4 + 4x

Solving
-9 + 3x = 4 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-9 + 3x + -4x = 4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-9 + -1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -1x = 4 + 0
-9 + -1x = 4

Add '9' to each side of the equation.
-9 + 9 + -1x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 4 + 9
-1x = 4 + 9

Combine like terms: 4 + 9 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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