28(x-1)=-7(4-x)+21

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Solution for 28(x-1)=-7(4-x)+21 equation:


Simplifying
28(x + -1) = -7(4 + -1x) + 21

Reorder the terms:
28(-1 + x) = -7(4 + -1x) + 21
(-1 * 28 + x * 28) = -7(4 + -1x) + 21
(-28 + 28x) = -7(4 + -1x) + 21
-28 + 28x = (4 * -7 + -1x * -7) + 21
-28 + 28x = (-28 + 7x) + 21

Reorder the terms:
-28 + 28x = -28 + 21 + 7x

Combine like terms: -28 + 21 = -7
-28 + 28x = -7 + 7x

Solving
-28 + 28x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-28 + 28x + -7x = -7 + 7x + -7x

Combine like terms: 28x + -7x = 21x
-28 + 21x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-28 + 21x = -7 + 0
-28 + 21x = -7

Add '28' to each side of the equation.
-28 + 28 + 21x = -7 + 28

Combine like terms: -28 + 28 = 0
0 + 21x = -7 + 28
21x = -7 + 28

Combine like terms: -7 + 28 = 21
21x = 21

Divide each side by '21'.
x = 1

Simplifying
x = 1

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