4ax+7=-2(x-9)

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Solution for 4ax+7=-2(x-9) equation:


Simplifying
4ax + 7 = -2(x + -9)

Reorder the terms:
7 + 4ax = -2(x + -9)

Reorder the terms:
7 + 4ax = -2(-9 + x)
7 + 4ax = (-9 * -2 + x * -2)
7 + 4ax = (18 + -2x)

Solving
7 + 4ax = 18 + -2x

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 4ax = 18 + -7 + -2x

Combine like terms: 7 + -7 = 0
0 + 4ax = 18 + -7 + -2x
4ax = 18 + -7 + -2x

Combine like terms: 18 + -7 = 11
4ax = 11 + -2x

Divide each side by '4x'.
a = 2.75x-1 + -0.5

Simplifying
a = 2.75x-1 + -0.5

Reorder the terms:
a = -0.5 + 2.75x-1

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