4x-7(x-9)=13x

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Solution for 4x-7(x-9)=13x equation:


Simplifying
4x + -7(x + -9) = 13x

Reorder the terms:
4x + -7(-9 + x) = 13x
4x + (-9 * -7 + x * -7) = 13x
4x + (63 + -7x) = 13x

Reorder the terms:
63 + 4x + -7x = 13x

Combine like terms: 4x + -7x = -3x
63 + -3x = 13x

Solving
63 + -3x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
63 + -3x + -13x = 13x + -13x

Combine like terms: -3x + -13x = -16x
63 + -16x = 13x + -13x

Combine like terms: 13x + -13x = 0
63 + -16x = 0

Add '-63' to each side of the equation.
63 + -63 + -16x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -16x = 0 + -63
-16x = 0 + -63

Combine like terms: 0 + -63 = -63
-16x = -63

Divide each side by '-16'.
x = 3.9375

Simplifying
x = 3.9375

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