-74=-8(3x+3)-7(-4x+6)

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Solution for -74=-8(3x+3)-7(-4x+6) equation:


Simplifying
-74 = -8(3x + 3) + -7(-4x + 6)

Reorder the terms:
-74 = -8(3 + 3x) + -7(-4x + 6)
-74 = (3 * -8 + 3x * -8) + -7(-4x + 6)
-74 = (-24 + -24x) + -7(-4x + 6)

Reorder the terms:
-74 = -24 + -24x + -7(6 + -4x)
-74 = -24 + -24x + (6 * -7 + -4x * -7)
-74 = -24 + -24x + (-42 + 28x)

Reorder the terms:
-74 = -24 + -42 + -24x + 28x

Combine like terms: -24 + -42 = -66
-74 = -66 + -24x + 28x

Combine like terms: -24x + 28x = 4x
-74 = -66 + 4x

Solving
-74 = -66 + 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.
-74 + -4x = -66 + 4x + -4x

Combine like terms: 4x + -4x = 0
-74 + -4x = -66 + 0
-74 + -4x = -66

Add '74' to each side of the equation.
-74 + 74 + -4x = -66 + 74

Combine like terms: -74 + 74 = 0
0 + -4x = -66 + 74
-4x = -66 + 74

Combine like terms: -66 + 74 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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