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

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


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

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

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

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

Reorder the terms:
-12 + -1r + 6x = 5(-7 + 3x)
-12 + -1r + 6x = (-7 * 5 + 3x * 5)
-12 + -1r + 6x = (-35 + 15x)

Solving
-12 + -1r + 6x = -35 + 15x

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 = -35 + 12 + 15x

Reorder the terms:
-12 + 12 + -1r + 6x = -35 + 12 + 15x

Combine like terms: -12 + 12 = 0
0 + -1r + 6x = -35 + 12 + 15x
-1r + 6x = -35 + 12 + 15x

Combine like terms: -35 + 12 = -23
-1r + 6x = -23 + 15x

Add '-6x' to each side of the equation.
-1r + 6x + -6x = -23 + 15x + -6x

Combine like terms: 6x + -6x = 0
-1r + 0 = -23 + 15x + -6x
-1r = -23 + 15x + -6x

Combine like terms: 15x + -6x = 9x
-1r = -23 + 9x

Divide each side by '-1'.
r = 23 + -9x

Simplifying
r = 23 + -9x

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