2(6x-7)=5(3x-4)

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Solution for 2(6x-7)=5(3x-4) equation:


Simplifying
2(6x + -7) = 5(3x + -4)

Reorder the terms:
2(-7 + 6x) = 5(3x + -4)
(-7 * 2 + 6x * 2) = 5(3x + -4)
(-14 + 12x) = 5(3x + -4)

Reorder the terms:
-14 + 12x = 5(-4 + 3x)
-14 + 12x = (-4 * 5 + 3x * 5)
-14 + 12x = (-20 + 15x)

Solving
-14 + 12x = -20 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-14 + 12x + -15x = -20 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-14 + -3x = -20 + 15x + -15x

Combine like terms: 15x + -15x = 0
-14 + -3x = -20 + 0
-14 + -3x = -20

Add '14' to each side of the equation.
-14 + 14 + -3x = -20 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = -20 + 14
-3x = -20 + 14

Combine like terms: -20 + 14 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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