5-3(x-2)=4(3x-1)

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Solution for 5-3(x-2)=4(3x-1) equation: 


Simplifying
5 + -3(x + -2) = 4(3x + -1)

Reorder the terms:
5 + -3(-2 + x) = 4(3x + -1)
5 + (-2 * -3 + x * -3) = 4(3x + -1)
5 + (6 + -3x) = 4(3x + -1)

Combine like terms: 5 + 6 = 11
11 + -3x = 4(3x + -1)

Reorder the terms:
11 + -3x = 4(-1 + 3x)
11 + -3x = (-1 * 4 + 3x * 4)
11 + -3x = (-4 + 12x)

Solving
11 + -3x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
11 + -3x + -12x = -4 + 12x + -12x

Combine like terms: -3x + -12x = -15x
11 + -15x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
11 + -15x = -4 + 0
11 + -15x = -4

Add '-11' to each side of the equation.
11 + -11 + -15x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -15x = -4 + -11
-15x = -4 + -11

Combine like terms: -4 + -11 = -15
-15x = -15

Divide each side by '-15'.
x = 1

Simplifying
x = 1

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