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 = -1x
-13 + -1x = 1

Solving
-13 + -1x = 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 + -1x = 1 + 13

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

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

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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