x+7=2(3x+4)

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


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

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

Reorder the terms:
7 + x = 2(4 + 3x)
7 + x = (4 * 2 + 3x * 2)
7 + x = (8 + 6x)

Solving
7 + x = 8 + 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.
7 + x + -6x = 8 + 6x + -6x

Combine like terms: x + -6x = -5x
7 + -5x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -5x = 8 + 0
7 + -5x = 8

Add '-7' to each side of the equation.
7 + -7 + -5x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 8 + -7
-5x = 8 + -7

Combine like terms: 8 + -7 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

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