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

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


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

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

Reorder the terms:
-10 + 5x = -4(7 + 2x) + x
-10 + 5x = (7 * -4 + 2x * -4) + x
-10 + 5x = (-28 + -8x) + x

Combine like terms: -8x + x = -7x
-10 + 5x = -28 + -7x

Solving
-10 + 5x = -28 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-10 + 5x + 7x = -28 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-10 + 12x = -28 + -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 12x = -28 + 0
-10 + 12x = -28

Add '10' to each side of the equation.
-10 + 10 + 12x = -28 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = -28 + 10
12x = -28 + 10

Combine like terms: -28 + 10 = -18
12x = -18

Divide each side by '12'.
x = -1.5

Simplifying
x = -1.5

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