5(x-7)+6(-4x-9)=-20(x+4)-10

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Solution for 5(x-7)+6(-4x-9)=-20(x+4)-10 equation:


Simplifying
5(x + -7) + 6(-4x + -9) = -20(x + 4) + -10

Reorder the terms:
5(-7 + x) + 6(-4x + -9) = -20(x + 4) + -10
(-7 * 5 + x * 5) + 6(-4x + -9) = -20(x + 4) + -10
(-35 + 5x) + 6(-4x + -9) = -20(x + 4) + -10

Reorder the terms:
-35 + 5x + 6(-9 + -4x) = -20(x + 4) + -10
-35 + 5x + (-9 * 6 + -4x * 6) = -20(x + 4) + -10
-35 + 5x + (-54 + -24x) = -20(x + 4) + -10

Reorder the terms:
-35 + -54 + 5x + -24x = -20(x + 4) + -10

Combine like terms: -35 + -54 = -89
-89 + 5x + -24x = -20(x + 4) + -10

Combine like terms: 5x + -24x = -19x
-89 + -19x = -20(x + 4) + -10

Reorder the terms:
-89 + -19x = -20(4 + x) + -10
-89 + -19x = (4 * -20 + x * -20) + -10
-89 + -19x = (-80 + -20x) + -10

Reorder the terms:
-89 + -19x = -80 + -10 + -20x

Combine like terms: -80 + -10 = -90
-89 + -19x = -90 + -20x

Solving
-89 + -19x = -90 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-89 + -19x + 20x = -90 + -20x + 20x

Combine like terms: -19x + 20x = 1x
-89 + 1x = -90 + -20x + 20x

Combine like terms: -20x + 20x = 0
-89 + 1x = -90 + 0
-89 + 1x = -90

Add '89' to each side of the equation.
-89 + 89 + 1x = -90 + 89

Combine like terms: -89 + 89 = 0
0 + 1x = -90 + 89
1x = -90 + 89

Combine like terms: -90 + 89 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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