7(x-6)-3(4x+1)=-65

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Solution for 7(x-6)-3(4x+1)=-65 equation:


Simplifying
7(x + -6) + -3(4x + 1) = -65

Reorder the terms:
7(-6 + x) + -3(4x + 1) = -65
(-6 * 7 + x * 7) + -3(4x + 1) = -65
(-42 + 7x) + -3(4x + 1) = -65

Reorder the terms:
-42 + 7x + -3(1 + 4x) = -65
-42 + 7x + (1 * -3 + 4x * -3) = -65
-42 + 7x + (-3 + -12x) = -65

Reorder the terms:
-42 + -3 + 7x + -12x = -65

Combine like terms: -42 + -3 = -45
-45 + 7x + -12x = -65

Combine like terms: 7x + -12x = -5x
-45 + -5x = -65

Solving
-45 + -5x = -65

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + -5x = -65 + 45

Combine like terms: -45 + 45 = 0
0 + -5x = -65 + 45
-5x = -65 + 45

Combine like terms: -65 + 45 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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