3(5x-7)=2(6x-7)

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Solution for 3(5x-7)=2(6x-7) equation:


Simplifying
3(5x + -7) = 2(6x + -7)

Reorder the terms:
3(-7 + 5x) = 2(6x + -7)
(-7 * 3 + 5x * 3) = 2(6x + -7)
(-21 + 15x) = 2(6x + -7)

Reorder the terms:
-21 + 15x = 2(-7 + 6x)
-21 + 15x = (-7 * 2 + 6x * 2)
-21 + 15x = (-14 + 12x)

Solving
-21 + 15x = -14 + 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.
-21 + 15x + -12x = -14 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-21 + 3x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
-21 + 3x = -14 + 0
-21 + 3x = -14

Add '21' to each side of the equation.
-21 + 21 + 3x = -14 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = -14 + 21
3x = -14 + 21

Combine like terms: -14 + 21 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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