2(3x-5)=7x-13

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Solution for 2(3x-5)=7x-13 equation:


Simplifying
2(3x + -5) = 7x + -13

Reorder the terms:
2(-5 + 3x) = 7x + -13
(-5 * 2 + 3x * 2) = 7x + -13
(-10 + 6x) = 7x + -13

Reorder the terms:
-10 + 6x = -13 + 7x

Solving
-10 + 6x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 6x + -7x = -13 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-10 + -1x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -1x = -13 + 0
-10 + -1x = -13

Add '10' to each side of the equation.
-10 + 10 + -1x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -13 + 10
-1x = -13 + 10

Combine like terms: -13 + 10 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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