7(x-9)=-6x+28

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Solution for 7(x-9)=-6x+28 equation:


Simplifying
7(x + -9) = -6x + 28

Reorder the terms:
7(-9 + x) = -6x + 28
(-9 * 7 + x * 7) = -6x + 28
(-63 + 7x) = -6x + 28

Reorder the terms:
-63 + 7x = 28 + -6x

Solving
-63 + 7x = 28 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-63 + 7x + 6x = 28 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-63 + 13x = 28 + -6x + 6x

Combine like terms: -6x + 6x = 0
-63 + 13x = 28 + 0
-63 + 13x = 28

Add '63' to each side of the equation.
-63 + 63 + 13x = 28 + 63

Combine like terms: -63 + 63 = 0
0 + 13x = 28 + 63
13x = 28 + 63

Combine like terms: 28 + 63 = 91
13x = 91

Divide each side by '13'.
x = 7

Simplifying
x = 7

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