3(2x-7)-4=3(x-5)-4

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Solution for 3(2x-7)-4=3(x-5)-4 equation:


Simplifying
3(2x + -7) + -4 = 3(x + -5) + -4

Reorder the terms:
3(-7 + 2x) + -4 = 3(x + -5) + -4
(-7 * 3 + 2x * 3) + -4 = 3(x + -5) + -4
(-21 + 6x) + -4 = 3(x + -5) + -4

Reorder the terms:
-21 + -4 + 6x = 3(x + -5) + -4

Combine like terms: -21 + -4 = -25
-25 + 6x = 3(x + -5) + -4

Reorder the terms:
-25 + 6x = 3(-5 + x) + -4
-25 + 6x = (-5 * 3 + x * 3) + -4
-25 + 6x = (-15 + 3x) + -4

Reorder the terms:
-25 + 6x = -15 + -4 + 3x

Combine like terms: -15 + -4 = -19
-25 + 6x = -19 + 3x

Solving
-25 + 6x = -19 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-25 + 6x + -3x = -19 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-25 + 3x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 3x = -19 + 0
-25 + 3x = -19

Add '25' to each side of the equation.
-25 + 25 + 3x = -19 + 25

Combine like terms: -25 + 25 = 0
0 + 3x = -19 + 25
3x = -19 + 25

Combine like terms: -19 + 25 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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