-3x+44=7(x+2)

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Solution for -3x+44=7(x+2) equation:


Simplifying
-3x + 44 = 7(x + 2)

Reorder the terms:
44 + -3x = 7(x + 2)

Reorder the terms:
44 + -3x = 7(2 + x)
44 + -3x = (2 * 7 + x * 7)
44 + -3x = (14 + 7x)

Solving
44 + -3x = 14 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
44 + -3x + -7x = 14 + 7x + -7x

Combine like terms: -3x + -7x = -10x
44 + -10x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
44 + -10x = 14 + 0
44 + -10x = 14

Add '-44' to each side of the equation.
44 + -44 + -10x = 14 + -44

Combine like terms: 44 + -44 = 0
0 + -10x = 14 + -44
-10x = 14 + -44

Combine like terms: 14 + -44 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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