3x-4=2(2x+5)

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Solution for 3x-4=2(2x+5) equation:


Simplifying
3x + -4 = 2(2x + 5)

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

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

Solving
-4 + 3x = 10 + 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.
-4 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-4 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -1x = 10 + 0
-4 + -1x = 10

Add '4' to each side of the equation.
-4 + 4 + -1x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 10 + 4
-1x = 10 + 4

Combine like terms: 10 + 4 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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