3(-5+9x)-8=7(4x-3)

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Solution for 3(-5+9x)-8=7(4x-3) equation:


Simplifying
3(-5 + 9x) + -8 = 7(4x + -3)
(-5 * 3 + 9x * 3) + -8 = 7(4x + -3)
(-15 + 27x) + -8 = 7(4x + -3)

Reorder the terms:
-15 + -8 + 27x = 7(4x + -3)

Combine like terms: -15 + -8 = -23
-23 + 27x = 7(4x + -3)

Reorder the terms:
-23 + 27x = 7(-3 + 4x)
-23 + 27x = (-3 * 7 + 4x * 7)
-23 + 27x = (-21 + 28x)

Solving
-23 + 27x = -21 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-23 + 27x + -28x = -21 + 28x + -28x

Combine like terms: 27x + -28x = -1x
-23 + -1x = -21 + 28x + -28x

Combine like terms: 28x + -28x = 0
-23 + -1x = -21 + 0
-23 + -1x = -21

Add '23' to each side of the equation.
-23 + 23 + -1x = -21 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = -21 + 23
-1x = -21 + 23

Combine like terms: -21 + 23 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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