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

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


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

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

Reorder the terms:
5 + 3x = 2(-7 + 2x)
5 + 3x = (-7 * 2 + 2x * 2)
5 + 3x = (-14 + 4x)

Solving
5 + 3x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 3x + -4x = -14 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = -14 + 0
5 + -1x = -14

Add '-5' to each side of the equation.
5 + -5 + -1x = -14 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -14 + -5
-1x = -14 + -5

Combine like terms: -14 + -5 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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