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

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


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

Reorder the terms:
3(-4 + x) + 5(4 + -1x) + 3(2x + -5) = -7
(-4 * 3 + x * 3) + 5(4 + -1x) + 3(2x + -5) = -7
(-12 + 3x) + 5(4 + -1x) + 3(2x + -5) = -7
-12 + 3x + (4 * 5 + -1x * 5) + 3(2x + -5) = -7
-12 + 3x + (20 + -5x) + 3(2x + -5) = -7

Reorder the terms:
-12 + 3x + 20 + -5x + 3(-5 + 2x) = -7
-12 + 3x + 20 + -5x + (-5 * 3 + 2x * 3) = -7
-12 + 3x + 20 + -5x + (-15 + 6x) = -7

Reorder the terms:
-12 + 20 + -15 + 3x + -5x + 6x = -7

Combine like terms: -12 + 20 = 8
8 + -15 + 3x + -5x + 6x = -7

Combine like terms: 8 + -15 = -7
-7 + 3x + -5x + 6x = -7

Combine like terms: 3x + -5x = -2x
-7 + -2x + 6x = -7

Combine like terms: -2x + 6x = 4x
-7 + 4x = -7

Add '7' to each side of the equation.
-7 + 7 + 4x = -7 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = -7 + 7
4x = -7 + 7

Combine like terms: -7 + 7 = 0
4x = 0

Solving
4x = 0

Solving for variable 'x'.

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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