2x+7=4(x+4)

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


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

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

Reorder the terms:
7 + 2x = 4(4 + x)
7 + 2x = (4 * 4 + x * 4)
7 + 2x = (16 + 4x)

Solving
7 + 2x = 16 + 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 + 2x + -4x = 16 + 4x + -4x

Combine like terms: 2x + -4x = -2x
7 + -2x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -2x = 16 + 0
7 + -2x = 16

Add '-7' to each side of the equation.
7 + -7 + -2x = 16 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 16 + -7
-2x = 16 + -7

Combine like terms: 16 + -7 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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