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

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


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

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

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

Solving
21 + -4x = -56 + 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.
21 + -4x + -7x = -56 + 7x + -7x

Combine like terms: -4x + -7x = -11x
21 + -11x = -56 + 7x + -7x

Combine like terms: 7x + -7x = 0
21 + -11x = -56 + 0
21 + -11x = -56

Add '-21' to each side of the equation.
21 + -21 + -11x = -56 + -21

Combine like terms: 21 + -21 = 0
0 + -11x = -56 + -21
-11x = -56 + -21

Combine like terms: -56 + -21 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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