7(x-8)+21=4(x-5)

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Solution for 7(x-8)+21=4(x-5) equation:


Simplifying
7(x + -8) + 21 = 4(x + -5)

Reorder the terms:
7(-8 + x) + 21 = 4(x + -5)
(-8 * 7 + x * 7) + 21 = 4(x + -5)
(-56 + 7x) + 21 = 4(x + -5)

Reorder the terms:
-56 + 21 + 7x = 4(x + -5)

Combine like terms: -56 + 21 = -35
-35 + 7x = 4(x + -5)

Reorder the terms:
-35 + 7x = 4(-5 + x)
-35 + 7x = (-5 * 4 + x * 4)
-35 + 7x = (-20 + 4x)

Solving
-35 + 7x = -20 + 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.
-35 + 7x + -4x = -20 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-35 + 3x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-35 + 3x = -20 + 0
-35 + 3x = -20

Add '35' to each side of the equation.
-35 + 35 + 3x = -20 + 35

Combine like terms: -35 + 35 = 0
0 + 3x = -20 + 35
3x = -20 + 35

Combine like terms: -20 + 35 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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