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

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


Simplifying
2(x + -5) + 5(7 + -1x) = -4x

Reorder the terms:
2(-5 + x) + 5(7 + -1x) = -4x
(-5 * 2 + x * 2) + 5(7 + -1x) = -4x
(-10 + 2x) + 5(7 + -1x) = -4x
-10 + 2x + (7 * 5 + -1x * 5) = -4x
-10 + 2x + (35 + -5x) = -4x

Reorder the terms:
-10 + 35 + 2x + -5x = -4x

Combine like terms: -10 + 35 = 25
25 + 2x + -5x = -4x

Combine like terms: 2x + -5x = -3x
25 + -3x = -4x

Solving
25 + -3x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
25 + -3x + 4x = -4x + 4x

Combine like terms: -3x + 4x = 1x
25 + 1x = -4x + 4x

Combine like terms: -4x + 4x = 0
25 + 1x = 0

Add '-25' to each side of the equation.
25 + -25 + 1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 1x = 0 + -25
1x = 0 + -25

Combine like terms: 0 + -25 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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