7(x-3)=-4x+56

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Solution for 7(x-3)=-4x+56 equation:


Simplifying
7(x + -3) = -4x + 56

Reorder the terms:
7(-3 + x) = -4x + 56
(-3 * 7 + x * 7) = -4x + 56
(-21 + 7x) = -4x + 56

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

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

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

Combine like terms: -4x + 4x = 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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