3x-1-7x=4(3x-1)-13

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Solution for 3x-1-7x=4(3x-1)-13 equation:


Simplifying
3x + -1 + -7x = 4(3x + -1) + -13

Reorder the terms:
-1 + 3x + -7x = 4(3x + -1) + -13

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

Reorder the terms:
-1 + -4x = 4(-1 + 3x) + -13
-1 + -4x = (-1 * 4 + 3x * 4) + -13
-1 + -4x = (-4 + 12x) + -13

Reorder the terms:
-1 + -4x = -4 + -13 + 12x

Combine like terms: -4 + -13 = -17
-1 + -4x = -17 + 12x

Solving
-1 + -4x = -17 + 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.
-1 + -4x + -12x = -17 + 12x + -12x

Combine like terms: -4x + -12x = -16x
-1 + -16x = -17 + 12x + -12x

Combine like terms: 12x + -12x = 0
-1 + -16x = -17 + 0
-1 + -16x = -17

Add '1' to each side of the equation.
-1 + 1 + -16x = -17 + 1

Combine like terms: -1 + 1 = 0
0 + -16x = -17 + 1
-16x = -17 + 1

Combine like terms: -17 + 1 = -16
-16x = -16

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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