2-3(x-5)-4(x-1)=0

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Solution for 2-3(x-5)-4(x-1)=0 equation: 


Simplifying
2 + -3(x + -5) + -4(x + -1) = 0

Reorder the terms:
2 + -3(-5 + x) + -4(x + -1) = 0
2 + (-5 * -3 + x * -3) + -4(x + -1) = 0
2 + (15 + -3x) + -4(x + -1) = 0

Reorder the terms:
2 + 15 + -3x + -4(-1 + x) = 0
2 + 15 + -3x + (-1 * -4 + x * -4) = 0
2 + 15 + -3x + (4 + -4x) = 0

Reorder the terms:
2 + 15 + 4 + -3x + -4x = 0

Combine like terms: 2 + 15 = 17
17 + 4 + -3x + -4x = 0

Combine like terms: 17 + 4 = 21
21 + -3x + -4x = 0

Combine like terms: -3x + -4x = -7x
21 + -7x = 0

Solving
21 + -7x = 0

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -7x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = 0 + -21
-7x = 0 + -21

Combine like terms: 0 + -21 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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