4(x-7)=-3x-21

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Solution for 4(x-7)=-3x-21 equation:


Simplifying
4(x + -7) = -3x + -21

Reorder the terms:
4(-7 + x) = -3x + -21
(-7 * 4 + x * 4) = -3x + -21
(-28 + 4x) = -3x + -21

Reorder the terms:
-28 + 4x = -21 + -3x

Solving
-28 + 4x = -21 + -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.
-28 + 4x + 3x = -21 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-28 + 7x = -21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 7x = -21 + 0
-28 + 7x = -21

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

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

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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