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

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


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

Reorder the terms:
2(-5 + 7x) = 3(x + 4)
(-5 * 2 + 7x * 2) = 3(x + 4)
(-10 + 14x) = 3(x + 4)

Reorder the terms:
-10 + 14x = 3(4 + x)
-10 + 14x = (4 * 3 + x * 3)
-10 + 14x = (12 + 3x)

Solving
-10 + 14x = 12 + 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.
-10 + 14x + -3x = 12 + 3x + -3x

Combine like terms: 14x + -3x = 11x
-10 + 11x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 11x = 12 + 0
-10 + 11x = 12

Add '10' to each side of the equation.
-10 + 10 + 11x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 12 + 10
11x = 12 + 10

Combine like terms: 12 + 10 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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