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

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


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

Reorder the terms:
8 + 4(-7 + x) = 3 + -3(x + -4)
8 + (-7 * 4 + x * 4) = 3 + -3(x + -4)
8 + (-28 + 4x) = 3 + -3(x + -4)

Combine like terms: 8 + -28 = -20
-20 + 4x = 3 + -3(x + -4)

Reorder the terms:
-20 + 4x = 3 + -3(-4 + x)
-20 + 4x = 3 + (-4 * -3 + x * -3)
-20 + 4x = 3 + (12 + -3x)

Combine like terms: 3 + 12 = 15
-20 + 4x = 15 + -3x

Solving
-20 + 4x = 15 + -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.
-20 + 4x + 3x = 15 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-20 + 7x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 7x = 15 + 0
-20 + 7x = 15

Add '20' to each side of the equation.
-20 + 20 + 7x = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 15 + 20
7x = 15 + 20

Combine like terms: 15 + 20 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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