4(x-4)+51=-3x

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Solution for 4(x-4)+51=-3x equation:


Simplifying
4(x + -4) + 51 = -3x

Reorder the terms:
4(-4 + x) + 51 = -3x
(-4 * 4 + x * 4) + 51 = -3x
(-16 + 4x) + 51 = -3x

Reorder the terms:
-16 + 51 + 4x = -3x

Combine like terms: -16 + 51 = 35
35 + 4x = -3x

Solving
35 + 4x = -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.
35 + 4x + 3x = -3x + 3x

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

Combine like terms: -3x + 3x = 0
35 + 7x = 0

Add '-35' to each side of the equation.
35 + -35 + 7x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 7x = 0 + -35
7x = 0 + -35

Combine like terms: 0 + -35 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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