3(x+14)=-4x+7

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Solution for 3(x+14)=-4x+7 equation:


Simplifying
3(x + 14) = -4x + 7

Reorder the terms:
3(14 + x) = -4x + 7
(14 * 3 + x * 3) = -4x + 7
(42 + 3x) = -4x + 7

Reorder the terms:
42 + 3x = 7 + -4x

Solving
42 + 3x = 7 + -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.
42 + 3x + 4x = 7 + -4x + 4x

Combine like terms: 3x + 4x = 7x
42 + 7x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
42 + 7x = 7 + 0
42 + 7x = 7

Add '-42' to each side of the equation.
42 + -42 + 7x = 7 + -42

Combine like terms: 42 + -42 = 0
0 + 7x = 7 + -42
7x = 7 + -42

Combine like terms: 7 + -42 = -35
7x = -35

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

Simplifying
x = -5

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