3(x-7)=5(x-1)-4

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Solution for 3(x-7)=5(x-1)-4 equation:


Simplifying
3(x + -7) = 5(x + -1) + -4

Reorder the terms:
3(-7 + x) = 5(x + -1) + -4
(-7 * 3 + x * 3) = 5(x + -1) + -4
(-21 + 3x) = 5(x + -1) + -4

Reorder the terms:
-21 + 3x = 5(-1 + x) + -4
-21 + 3x = (-1 * 5 + x * 5) + -4
-21 + 3x = (-5 + 5x) + -4

Reorder the terms:
-21 + 3x = -5 + -4 + 5x

Combine like terms: -5 + -4 = -9
-21 + 3x = -9 + 5x

Solving
-21 + 3x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 3x + -5x = -9 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-21 + -2x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + -2x = -9 + 0
-21 + -2x = -9

Add '21' to each side of the equation.
-21 + 21 + -2x = -9 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = -9 + 21
-2x = -9 + 21

Combine like terms: -9 + 21 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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