7(x-4)-(6x-3)=-9

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Solution for 7(x-4)-(6x-3)=-9 equation:


Simplifying
7(x + -4) + -1(6x + -3) = -9

Reorder the terms:
7(-4 + x) + -1(6x + -3) = -9
(-4 * 7 + x * 7) + -1(6x + -3) = -9
(-28 + 7x) + -1(6x + -3) = -9

Reorder the terms:
-28 + 7x + -1(-3 + 6x) = -9
-28 + 7x + (-3 * -1 + 6x * -1) = -9
-28 + 7x + (3 + -6x) = -9

Reorder the terms:
-28 + 3 + 7x + -6x = -9

Combine like terms: -28 + 3 = -25
-25 + 7x + -6x = -9

Combine like terms: 7x + -6x = 1x
-25 + 1x = -9

Solving
-25 + 1x = -9

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 1x = -9 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = -9 + 25
1x = -9 + 25

Combine like terms: -9 + 25 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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