(3x-3)-(10x-15)=x-4

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Solution for (3x-3)-(10x-15)=x-4 equation:


Simplifying
(3x + -3) + -1(10x + -15) = x + -4

Reorder the terms:
(-3 + 3x) + -1(10x + -15) = x + -4

Remove parenthesis around (-3 + 3x)
-3 + 3x + -1(10x + -15) = x + -4

Reorder the terms:
-3 + 3x + -1(-15 + 10x) = x + -4
-3 + 3x + (-15 * -1 + 10x * -1) = x + -4
-3 + 3x + (15 + -10x) = x + -4

Reorder the terms:
-3 + 15 + 3x + -10x = x + -4

Combine like terms: -3 + 15 = 12
12 + 3x + -10x = x + -4

Combine like terms: 3x + -10x = -7x
12 + -7x = x + -4

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

Solving
12 + -7x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -7x + -1x = -4 + x + -1x

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

Combine like terms: x + -1x = 0
12 + -8x = -4 + 0
12 + -8x = -4

Add '-12' to each side of the equation.
12 + -12 + -8x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -4 + -12
-8x = -4 + -12

Combine like terms: -4 + -12 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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