7(x-3)=4x+(-3x-15)

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Solution for 7(x-3)=4x+(-3x-15) equation:


Simplifying
7(x + -3) = 4x + (-3x + -15)

Reorder the terms:
7(-3 + x) = 4x + (-3x + -15)
(-3 * 7 + x * 7) = 4x + (-3x + -15)
(-21 + 7x) = 4x + (-3x + -15)

Reorder the terms:
-21 + 7x = 4x + (-15 + -3x)

Remove parenthesis around (-15 + -3x)
-21 + 7x = 4x + -15 + -3x

Reorder the terms:
-21 + 7x = -15 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-21 + 7x = -15 + 1x

Solving
-21 + 7x = -15 + 1x

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.
-21 + 7x + -1x = -15 + 1x + -1x

Combine like terms: 7x + -1x = 6x
-21 + 6x = -15 + 1x + -1x

Combine like terms: 1x + -1x = 0
-21 + 6x = -15 + 0
-21 + 6x = -15

Add '21' to each side of the equation.
-21 + 21 + 6x = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 6x = -15 + 21
6x = -15 + 21

Combine like terms: -15 + 21 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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