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

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


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

Reorder the terms:
5 + -3(-7 + 2x) = 2(7x + -13)
5 + (-7 * -3 + 2x * -3) = 2(7x + -13)
5 + (21 + -6x) = 2(7x + -13)

Combine like terms: 5 + 21 = 26
26 + -6x = 2(7x + -13)

Reorder the terms:
26 + -6x = 2(-13 + 7x)
26 + -6x = (-13 * 2 + 7x * 2)
26 + -6x = (-26 + 14x)

Solving
26 + -6x = -26 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
26 + -6x + -14x = -26 + 14x + -14x

Combine like terms: -6x + -14x = -20x
26 + -20x = -26 + 14x + -14x

Combine like terms: 14x + -14x = 0
26 + -20x = -26 + 0
26 + -20x = -26

Add '-26' to each side of the equation.
26 + -26 + -20x = -26 + -26

Combine like terms: 26 + -26 = 0
0 + -20x = -26 + -26
-20x = -26 + -26

Combine like terms: -26 + -26 = -52
-20x = -52

Divide each side by '-20'.
x = 2.6

Simplifying
x = 2.6

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