7x-49+7=4x-24

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Solution for 7x-49+7=4x-24 equation:


Simplifying
7x + -49 + 7 = 4x + -24

Reorder the terms:
-49 + 7 + 7x = 4x + -24

Combine like terms: -49 + 7 = -42
-42 + 7x = 4x + -24

Reorder the terms:
-42 + 7x = -24 + 4x

Solving
-42 + 7x = -24 + 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.
-42 + 7x + -4x = -24 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-42 + 3x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-42 + 3x = -24 + 0
-42 + 3x = -24

Add '42' to each side of the equation.
-42 + 42 + 3x = -24 + 42

Combine like terms: -42 + 42 = 0
0 + 3x = -24 + 42
3x = -24 + 42

Combine like terms: -24 + 42 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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