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 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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