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

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


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

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

Reorder the terms:
-8 + 3x + 4x = 7 + x

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

Solving
-8 + 7x = 7 + x

Solving for variable 'x'.

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

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

Combine like terms: 7x + -1x = 6x
-8 + 6x = 7 + x + -1x

Combine like terms: x + -1x = 0
-8 + 6x = 7 + 0
-8 + 6x = 7

Add '8' to each side of the equation.
-8 + 8 + 6x = 7 + 8

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

Combine like terms: 7 + 8 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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