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

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


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

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

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

Reorder the terms:
-9 + -4 + 3x + 4x = 1

Combine like terms: -9 + -4 = -13
-13 + 3x + 4x = 1

Combine like terms: 3x + 4x = 7x
-13 + 7x = 1

Solving
-13 + 7x = 1

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 7x = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 1 + 13
7x = 1 + 13

Combine like terms: 1 + 13 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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