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

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Solution for 3(x-10)+4(x-18)=10 equation: 


Simplifying
3(x + -10) + 4(x + -18) = 10

Reorder the terms:
3(-10 + x) + 4(x + -18) = 10
(-10 * 3 + x * 3) + 4(x + -18) = 10
(-30 + 3x) + 4(x + -18) = 10

Reorder the terms:
-30 + 3x + 4(-18 + x) = 10
-30 + 3x + (-18 * 4 + x * 4) = 10
-30 + 3x + (-72 + 4x) = 10

Reorder the terms:
-30 + -72 + 3x + 4x = 10

Combine like terms: -30 + -72 = -102
-102 + 3x + 4x = 10

Combine like terms: 3x + 4x = 7x
-102 + 7x = 10

Solving
-102 + 7x = 10

Solving for variable 'x'.

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

Add '102' to each side of the equation.
-102 + 102 + 7x = 10 + 102

Combine like terms: -102 + 102 = 0
0 + 7x = 10 + 102
7x = 10 + 102

Combine like terms: 10 + 102 = 112
7x = 112

Divide each side by '7'.
x = 16

Simplifying
x = 16

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