4(2x-3)-x=4(x+12)+15

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Solution for 4(2x-3)-x=4(x+12)+15 equation:


Simplifying
4(2x + -3) + -1x = 4(x + 12) + 15

Reorder the terms:
4(-3 + 2x) + -1x = 4(x + 12) + 15
(-3 * 4 + 2x * 4) + -1x = 4(x + 12) + 15
(-12 + 8x) + -1x = 4(x + 12) + 15

Combine like terms: 8x + -1x = 7x
-12 + 7x = 4(x + 12) + 15

Reorder the terms:
-12 + 7x = 4(12 + x) + 15
-12 + 7x = (12 * 4 + x * 4) + 15
-12 + 7x = (48 + 4x) + 15

Reorder the terms:
-12 + 7x = 48 + 15 + 4x

Combine like terms: 48 + 15 = 63
-12 + 7x = 63 + 4x

Solving
-12 + 7x = 63 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 7x + -4x = 63 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-12 + 3x = 63 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 3x = 63 + 0
-12 + 3x = 63

Add '12' to each side of the equation.
-12 + 12 + 3x = 63 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 63 + 12
3x = 63 + 12

Combine like terms: 63 + 12 = 75
3x = 75

Divide each side by '3'.
x = 25

Simplifying
x = 25

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