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

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


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

Reorder the terms:
2(-5 + 2x) = 2(3x + 2)
(-5 * 2 + 2x * 2) = 2(3x + 2)
(-10 + 4x) = 2(3x + 2)

Reorder the terms:
-10 + 4x = 2(2 + 3x)
-10 + 4x = (2 * 2 + 3x * 2)
-10 + 4x = (4 + 6x)

Solving
-10 + 4x = 4 + 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.
-10 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-10 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -2x = 4 + 0
-10 + -2x = 4

Add '10' to each side of the equation.
-10 + 10 + -2x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 4 + 10
-2x = 4 + 10

Combine like terms: 4 + 10 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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