9-2(5x+4)=-3(2x-7)-10

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Solution for 9-2(5x+4)=-3(2x-7)-10 equation:


Simplifying
9 + -2(5x + 4) = -3(2x + -7) + -10

Reorder the terms:
9 + -2(4 + 5x) = -3(2x + -7) + -10
9 + (4 * -2 + 5x * -2) = -3(2x + -7) + -10
9 + (-8 + -10x) = -3(2x + -7) + -10

Combine like terms: 9 + -8 = 1
1 + -10x = -3(2x + -7) + -10

Reorder the terms:
1 + -10x = -3(-7 + 2x) + -10
1 + -10x = (-7 * -3 + 2x * -3) + -10
1 + -10x = (21 + -6x) + -10

Reorder the terms:
1 + -10x = 21 + -10 + -6x

Combine like terms: 21 + -10 = 11
1 + -10x = 11 + -6x

Solving
1 + -10x = 11 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + -10x + 6x = 11 + -6x + 6x

Combine like terms: -10x + 6x = -4x
1 + -4x = 11 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + -4x = 11 + 0
1 + -4x = 11

Add '-1' to each side of the equation.
1 + -1 + -4x = 11 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 11 + -1
-4x = 11 + -1

Combine like terms: 11 + -1 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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