5(x-3)-4(x-3)=3(x-1)

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Solution for 5(x-3)-4(x-3)=3(x-1) equation:


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

Reorder the terms:
5(-3 + x) + -4(x + -3) = 3(x + -1)
(-3 * 5 + x * 5) + -4(x + -3) = 3(x + -1)
(-15 + 5x) + -4(x + -3) = 3(x + -1)

Reorder the terms:
-15 + 5x + -4(-3 + x) = 3(x + -1)
-15 + 5x + (-3 * -4 + x * -4) = 3(x + -1)
-15 + 5x + (12 + -4x) = 3(x + -1)

Reorder the terms:
-15 + 12 + 5x + -4x = 3(x + -1)

Combine like terms: -15 + 12 = -3
-3 + 5x + -4x = 3(x + -1)

Combine like terms: 5x + -4x = 1x
-3 + 1x = 3(x + -1)

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

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

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

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

Solving
1x = 3x

Solving for variable 'x'.

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

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

Combine like terms: 1x + -3x = -2x
-2x = 3x + -3x

Combine like terms: 3x + -3x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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