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

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


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

Reorder the terms:
3(-5 + 2x) = 5 + -2(4x + -7)
(-5 * 3 + 2x * 3) = 5 + -2(4x + -7)
(-15 + 6x) = 5 + -2(4x + -7)

Reorder the terms:
-15 + 6x = 5 + -2(-7 + 4x)
-15 + 6x = 5 + (-7 * -2 + 4x * -2)
-15 + 6x = 5 + (14 + -8x)

Combine like terms: 5 + 14 = 19
-15 + 6x = 19 + -8x

Solving
-15 + 6x = 19 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-15 + 6x + 8x = 19 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-15 + 14x = 19 + -8x + 8x

Combine like terms: -8x + 8x = 0
-15 + 14x = 19 + 0
-15 + 14x = 19

Add '15' to each side of the equation.
-15 + 15 + 14x = 19 + 15

Combine like terms: -15 + 15 = 0
0 + 14x = 19 + 15
14x = 19 + 15

Combine like terms: 19 + 15 = 34
14x = 34

Divide each side by '14'.
x = 2.428571429

Simplifying
x = 2.428571429

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