7-9x=-4(4x-5)

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Solution for 7-9x=-4(4x-5) equation:


Simplifying
7 + -9x = -4(4x + -5)

Reorder the terms:
7 + -9x = -4(-5 + 4x)
7 + -9x = (-5 * -4 + 4x * -4)
7 + -9x = (20 + -16x)

Solving
7 + -9x = 20 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
7 + -9x + 16x = 20 + -16x + 16x

Combine like terms: -9x + 16x = 7x
7 + 7x = 20 + -16x + 16x

Combine like terms: -16x + 16x = 0
7 + 7x = 20 + 0
7 + 7x = 20

Add '-7' to each side of the equation.
7 + -7 + 7x = 20 + -7

Combine like terms: 7 + -7 = 0
0 + 7x = 20 + -7
7x = 20 + -7

Combine like terms: 20 + -7 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857

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