3(x-7)-3(x+4)=4-(5x-2)

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Solution for 3(x-7)-3(x+4)=4-(5x-2) equation:


Simplifying
3(x + -7) + -3(x + 4) = 4 + -1(5x + -2)

Reorder the terms:
3(-7 + x) + -3(x + 4) = 4 + -1(5x + -2)
(-7 * 3 + x * 3) + -3(x + 4) = 4 + -1(5x + -2)
(-21 + 3x) + -3(x + 4) = 4 + -1(5x + -2)

Reorder the terms:
-21 + 3x + -3(4 + x) = 4 + -1(5x + -2)
-21 + 3x + (4 * -3 + x * -3) = 4 + -1(5x + -2)
-21 + 3x + (-12 + -3x) = 4 + -1(5x + -2)

Reorder the terms:
-21 + -12 + 3x + -3x = 4 + -1(5x + -2)

Combine like terms: -21 + -12 = -33
-33 + 3x + -3x = 4 + -1(5x + -2)

Combine like terms: 3x + -3x = 0
-33 + 0 = 4 + -1(5x + -2)
-33 = 4 + -1(5x + -2)

Reorder the terms:
-33 = 4 + -1(-2 + 5x)
-33 = 4 + (-2 * -1 + 5x * -1)
-33 = 4 + (2 + -5x)

Combine like terms: 4 + 2 = 6
-33 = 6 + -5x

Solving
-33 = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-33 + 5x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-33 + 5x = 6 + 0
-33 + 5x = 6

Add '33' to each side of the equation.
-33 + 33 + 5x = 6 + 33

Combine like terms: -33 + 33 = 0
0 + 5x = 6 + 33
5x = 6 + 33

Combine like terms: 6 + 33 = 39
5x = 39

Divide each side by '5'.
x = 7.8

Simplifying
x = 7.8

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