7(x-12)-4(x+42)=24-3(x-36)

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Solution for 7(x-12)-4(x+42)=24-3(x-36) equation:


Simplifying
7(x + -12) + -4(x + 42) = 24 + -3(x + -36)

Reorder the terms:
7(-12 + x) + -4(x + 42) = 24 + -3(x + -36)
(-12 * 7 + x * 7) + -4(x + 42) = 24 + -3(x + -36)
(-84 + 7x) + -4(x + 42) = 24 + -3(x + -36)

Reorder the terms:
-84 + 7x + -4(42 + x) = 24 + -3(x + -36)
-84 + 7x + (42 * -4 + x * -4) = 24 + -3(x + -36)
-84 + 7x + (-168 + -4x) = 24 + -3(x + -36)

Reorder the terms:
-84 + -168 + 7x + -4x = 24 + -3(x + -36)

Combine like terms: -84 + -168 = -252
-252 + 7x + -4x = 24 + -3(x + -36)

Combine like terms: 7x + -4x = 3x
-252 + 3x = 24 + -3(x + -36)

Reorder the terms:
-252 + 3x = 24 + -3(-36 + x)
-252 + 3x = 24 + (-36 * -3 + x * -3)
-252 + 3x = 24 + (108 + -3x)

Combine like terms: 24 + 108 = 132
-252 + 3x = 132 + -3x

Solving
-252 + 3x = 132 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-252 + 3x + 3x = 132 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-252 + 6x = 132 + -3x + 3x

Combine like terms: -3x + 3x = 0
-252 + 6x = 132 + 0
-252 + 6x = 132

Add '252' to each side of the equation.
-252 + 252 + 6x = 132 + 252

Combine like terms: -252 + 252 = 0
0 + 6x = 132 + 252
6x = 132 + 252

Combine like terms: 132 + 252 = 384
6x = 384

Divide each side by '6'.
x = 64

Simplifying
x = 64

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