(10x+4)-(7x+10)=18

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Solution for (10x+4)-(7x+10)=18 equation:


Simplifying
(10x + 4) + -1(7x + 10) = 18

Reorder the terms:
(4 + 10x) + -1(7x + 10) = 18

Remove parenthesis around (4 + 10x)
4 + 10x + -1(7x + 10) = 18

Reorder the terms:
4 + 10x + -1(10 + 7x) = 18
4 + 10x + (10 * -1 + 7x * -1) = 18
4 + 10x + (-10 + -7x) = 18

Reorder the terms:
4 + -10 + 10x + -7x = 18

Combine like terms: 4 + -10 = -6
-6 + 10x + -7x = 18

Combine like terms: 10x + -7x = 3x
-6 + 3x = 18

Solving
-6 + 3x = 18

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 18 + 6
3x = 18 + 6

Combine like terms: 18 + 6 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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