4(x-5)-5(2x+6)=2(3x-10)-2x

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Solution for 4(x-5)-5(2x+6)=2(3x-10)-2x equation:


Simplifying
4(x + -5) + -5(2x + 6) = 2(3x + -10) + -2x

Reorder the terms:
4(-5 + x) + -5(2x + 6) = 2(3x + -10) + -2x
(-5 * 4 + x * 4) + -5(2x + 6) = 2(3x + -10) + -2x
(-20 + 4x) + -5(2x + 6) = 2(3x + -10) + -2x

Reorder the terms:
-20 + 4x + -5(6 + 2x) = 2(3x + -10) + -2x
-20 + 4x + (6 * -5 + 2x * -5) = 2(3x + -10) + -2x
-20 + 4x + (-30 + -10x) = 2(3x + -10) + -2x

Reorder the terms:
-20 + -30 + 4x + -10x = 2(3x + -10) + -2x

Combine like terms: -20 + -30 = -50
-50 + 4x + -10x = 2(3x + -10) + -2x

Combine like terms: 4x + -10x = -6x
-50 + -6x = 2(3x + -10) + -2x

Reorder the terms:
-50 + -6x = 2(-10 + 3x) + -2x
-50 + -6x = (-10 * 2 + 3x * 2) + -2x
-50 + -6x = (-20 + 6x) + -2x

Combine like terms: 6x + -2x = 4x
-50 + -6x = -20 + 4x

Solving
-50 + -6x = -20 + 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.
-50 + -6x + -4x = -20 + 4x + -4x

Combine like terms: -6x + -4x = -10x
-50 + -10x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-50 + -10x = -20 + 0
-50 + -10x = -20

Add '50' to each side of the equation.
-50 + 50 + -10x = -20 + 50

Combine like terms: -50 + 50 = 0
0 + -10x = -20 + 50
-10x = -20 + 50

Combine like terms: -20 + 50 = 30
-10x = 30

Divide each side by '-10'.
x = -3

Simplifying
x = -3

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