3x-7=2(2x+4)

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Solution for 3x-7=2(2x+4) equation:


Simplifying
3x + -7 = 2(2x + 4)

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

Reorder the terms:
-7 + 3x = 2(4 + 2x)
-7 + 3x = (4 * 2 + 2x * 2)
-7 + 3x = (8 + 4x)

Solving
-7 + 3x = 8 + 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.
-7 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-7 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + -1x = 8 + 0
-7 + -1x = 8

Add '7' to each side of the equation.
-7 + 7 + -1x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 8 + 7
-1x = 8 + 7

Combine like terms: 8 + 7 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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