6*(x-10)+3*(2x-7)=45

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Solution for 6*(x-10)+3*(2x-7)=45 equation: 


Simplifying
6(x + -10) + 3(2x + -7) = 45

Reorder the terms:
6(-10 + x) + 3(2x + -7) = 45
(-10 * 6 + x * 6) + 3(2x + -7) = 45
(-60 + 6x) + 3(2x + -7) = 45

Reorder the terms:
-60 + 6x + 3(-7 + 2x) = 45
-60 + 6x + (-7 * 3 + 2x * 3) = 45
-60 + 6x + (-21 + 6x) = 45

Reorder the terms:
-60 + -21 + 6x + 6x = 45

Combine like terms: -60 + -21 = -81
-81 + 6x + 6x = 45

Combine like terms: 6x + 6x = 12x
-81 + 12x = 45

Solving
-81 + 12x = 45

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + 12x = 45 + 81

Combine like terms: -81 + 81 = 0
0 + 12x = 45 + 81
12x = 45 + 81

Combine like terms: 45 + 81 = 126
12x = 126

Divide each side by '12'.
x = 10.5

Simplifying
x = 10.5

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