76=3x+4(-4x-7)

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Solution for 76=3x+4(-4x-7) equation:


Simplifying
76 = 3x + 4(-4x + -7)

Reorder the terms:
76 = 3x + 4(-7 + -4x)
76 = 3x + (-7 * 4 + -4x * 4)
76 = 3x + (-28 + -16x)

Reorder the terms:
76 = -28 + 3x + -16x

Combine like terms: 3x + -16x = -13x
76 = -28 + -13x

Solving
76 = -28 + -13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13x' to each side of the equation.
76 + 13x = -28 + -13x + 13x

Combine like terms: -13x + 13x = 0
76 + 13x = -28 + 0
76 + 13x = -28

Add '-76' to each side of the equation.
76 + -76 + 13x = -28 + -76

Combine like terms: 76 + -76 = 0
0 + 13x = -28 + -76
13x = -28 + -76

Combine like terms: -28 + -76 = -104
13x = -104

Divide each side by '13'.
x = -8

Simplifying
x = -8

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