3-4(x+4)=7x-2

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Solution for 3-4(x+4)=7x-2 equation:


Simplifying
3 + -4(x + 4) = 7x + -2

Reorder the terms:
3 + -4(4 + x) = 7x + -2
3 + (4 * -4 + x * -4) = 7x + -2
3 + (-16 + -4x) = 7x + -2

Combine like terms: 3 + -16 = -13
-13 + -4x = 7x + -2

Reorder the terms:
-13 + -4x = -2 + 7x

Solving
-13 + -4x = -2 + 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.
-13 + -4x + -7x = -2 + 7x + -7x

Combine like terms: -4x + -7x = -11x
-13 + -11x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -11x = -2 + 0
-13 + -11x = -2

Add '13' to each side of the equation.
-13 + 13 + -11x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + -11x = -2 + 13
-11x = -2 + 13

Combine like terms: -2 + 13 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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