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 = -27
-27 + 5x + 4x = 3(x + -1)

Combine like terms: 5x + 4x = 9x
-27 + 9x = 3(x + -1)

Reorder the terms:
-27 + 9x = 3(-1 + x)
-27 + 9x = (-1 * 3 + x * 3)
-27 + 9x = (-3 + 3x)

Solving
-27 + 9x = -3 + 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.
-27 + 9x + -3x = -3 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-27 + 6x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + 6x = -3 + 0
-27 + 6x = -3

Add '27' to each side of the equation.
-27 + 27 + 6x = -3 + 27

Combine like terms: -27 + 27 = 0
0 + 6x = -3 + 27
6x = -3 + 27

Combine like terms: -3 + 27 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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