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

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


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

Reorder the terms:
-3(-7 + 2x) + -10 = 9 + -2(5x + 4)
(-7 * -3 + 2x * -3) + -10 = 9 + -2(5x + 4)
(21 + -6x) + -10 = 9 + -2(5x + 4)

Reorder the terms:
21 + -10 + -6x = 9 + -2(5x + 4)

Combine like terms: 21 + -10 = 11
11 + -6x = 9 + -2(5x + 4)

Reorder the terms:
11 + -6x = 9 + -2(4 + 5x)
11 + -6x = 9 + (4 * -2 + 5x * -2)
11 + -6x = 9 + (-8 + -10x)

Combine like terms: 9 + -8 = 1
11 + -6x = 1 + -10x

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

Solving for variable 'x'.

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

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

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

Combine like terms: -10x + 10x = 0
11 + 4x = 1 + 0
11 + 4x = 1

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

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

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

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

Simplifying
x = -2.5

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