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

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


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

Reorder the terms:
-3 = -2(2 + 7x) + -5(x + -4)
-3 = (2 * -2 + 7x * -2) + -5(x + -4)
-3 = (-4 + -14x) + -5(x + -4)

Reorder the terms:
-3 = -4 + -14x + -5(-4 + x)
-3 = -4 + -14x + (-4 * -5 + x * -5)
-3 = -4 + -14x + (20 + -5x)

Reorder the terms:
-3 = -4 + 20 + -14x + -5x

Combine like terms: -4 + 20 = 16
-3 = 16 + -14x + -5x

Combine like terms: -14x + -5x = -19x
-3 = 16 + -19x

Solving
-3 = 16 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
-3 + 19x = 16 + -19x + 19x

Combine like terms: -19x + 19x = 0
-3 + 19x = 16 + 0
-3 + 19x = 16

Add '3' to each side of the equation.
-3 + 3 + 19x = 16 + 3

Combine like terms: -3 + 3 = 0
0 + 19x = 16 + 3
19x = 16 + 3

Combine like terms: 16 + 3 = 19
19x = 19

Divide each side by '19'.
x = 1

Simplifying
x = 1

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