7x-3=4(x+2)+2x-8

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Solution for 7x-3=4(x+2)+2x-8 equation:


Simplifying
7x + -3 = 4(x + 2) + 2x + -8

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

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

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

Combine like terms: 8 + -8 = 0
-3 + 7x = 0 + 4x + 2x
-3 + 7x = 4x + 2x

Combine like terms: 4x + 2x = 6x
-3 + 7x = 6x

Solving
-3 + 7x = 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.
-3 + 7x + -6x = 6x + -6x

Combine like terms: 7x + -6x = 1x
-3 + 1x = 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 1x = 0

Add '3' to each side of the equation.
-3 + 3 + 1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 0 + 3
1x = 0 + 3

Combine like terms: 0 + 3 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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