7-4(3x-5)=9-3(2x-1)

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Solution for 7-4(3x-5)=9-3(2x-1) equation:


Simplifying
7 + -4(3x + -5) = 9 + -3(2x + -1)

Reorder the terms:
7 + -4(-5 + 3x) = 9 + -3(2x + -1)
7 + (-5 * -4 + 3x * -4) = 9 + -3(2x + -1)
7 + (20 + -12x) = 9 + -3(2x + -1)

Combine like terms: 7 + 20 = 27
27 + -12x = 9 + -3(2x + -1)

Reorder the terms:
27 + -12x = 9 + -3(-1 + 2x)
27 + -12x = 9 + (-1 * -3 + 2x * -3)
27 + -12x = 9 + (3 + -6x)

Combine like terms: 9 + 3 = 12
27 + -12x = 12 + -6x

Solving
27 + -12x = 12 + -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.
27 + -12x + 6x = 12 + -6x + 6x

Combine like terms: -12x + 6x = -6x
27 + -6x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
27 + -6x = 12 + 0
27 + -6x = 12

Add '-27' to each side of the equation.
27 + -27 + -6x = 12 + -27

Combine like terms: 27 + -27 = 0
0 + -6x = 12 + -27
-6x = 12 + -27

Combine like terms: 12 + -27 = -15
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

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