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

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


Simplifying
2 + -1(x + 7) = 3(2x + -5)

Reorder the terms:
2 + -1(7 + x) = 3(2x + -5)
2 + (7 * -1 + x * -1) = 3(2x + -5)
2 + (-7 + -1x) = 3(2x + -5)

Combine like terms: 2 + -7 = -5
-5 + -1x = 3(2x + -5)

Reorder the terms:
-5 + -1x = 3(-5 + 2x)
-5 + -1x = (-5 * 3 + 2x * 3)
-5 + -1x = (-15 + 6x)

Solving
-5 + -1x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + -1x + -6x = -15 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-5 + -7x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -7x = -15 + 0
-5 + -7x = -15

Add '5' to each side of the equation.
-5 + 5 + -7x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = -15 + 5
-7x = -15 + 5

Combine like terms: -15 + 5 = -10
-7x = -10

Divide each side by '-7'.
x = 1.428571429

Simplifying
x = 1.428571429

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