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

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


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

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

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

Combine like terms: 4x + 2x = 6x
-12 + -1r + 6x = 5(3 + -7) + -9x

Combine like terms: 3 + -7 = -4
-12 + -1r + 6x = 5(-4) + -9x

Multiply 5 * -4
-12 + -1r + 6x = -20 + -9x

Solving
-12 + -1r + 6x = -20 + -9x

Solving for variable 'r'.

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

Add '12' to each side of the equation.
-12 + -1r + 12 + 6x = -20 + 12 + -9x

Reorder the terms:
-12 + 12 + -1r + 6x = -20 + 12 + -9x

Combine like terms: -12 + 12 = 0
0 + -1r + 6x = -20 + 12 + -9x
-1r + 6x = -20 + 12 + -9x

Combine like terms: -20 + 12 = -8
-1r + 6x = -8 + -9x

Add '-6x' to each side of the equation.
-1r + 6x + -6x = -8 + -9x + -6x

Combine like terms: 6x + -6x = 0
-1r + 0 = -8 + -9x + -6x
-1r = -8 + -9x + -6x

Combine like terms: -9x + -6x = -15x
-1r = -8 + -15x

Divide each side by '-1'.
r = 8 + 15x

Simplifying
r = 8 + 15x

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