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

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


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

Reorder the terms:
2(-3 + x) + -4(x + 4) = 3(-7) + 5
(-3 * 2 + x * 2) + -4(x + 4) = 3(-7) + 5
(-6 + 2x) + -4(x + 4) = 3(-7) + 5

Reorder the terms:
-6 + 2x + -4(4 + x) = 3(-7) + 5
-6 + 2x + (4 * -4 + x * -4) = 3(-7) + 5
-6 + 2x + (-16 + -4x) = 3(-7) + 5

Reorder the terms:
-6 + -16 + 2x + -4x = 3(-7) + 5

Combine like terms: -6 + -16 = -22
-22 + 2x + -4x = 3(-7) + 5

Combine like terms: 2x + -4x = -2x
-22 + -2x = 3(-7) + 5

Multiply 3 * -7
-22 + -2x = -21 + 5

Combine like terms: -21 + 5 = -16
-22 + -2x = -16

Solving
-22 + -2x = -16

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + -2x = -16 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = -16 + 22
-2x = -16 + 22

Combine like terms: -16 + 22 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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