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

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


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

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

Reorder the terms:
-14 + 6x = 2(-3 + 5x)
-14 + 6x = (-3 * 2 + 5x * 2)
-14 + 6x = (-6 + 10x)

Solving
-14 + 6x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-14 + 6x + -10x = -6 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-14 + -4x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-14 + -4x = -6 + 0
-14 + -4x = -6

Add '14' to each side of the equation.
-14 + 14 + -4x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + -4x = -6 + 14
-4x = -6 + 14

Combine like terms: -6 + 14 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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