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

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


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

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

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

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

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

Combine like terms: 2x + -3x = -1x
-50 + -1x = 4x

Solving
-50 + -1x = 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 + -1x + -4x = 4x + -4x

Combine like terms: -1x + -4x = -5x
-50 + -5x = 4x + -4x

Combine like terms: 4x + -4x = 0
-50 + -5x = 0

Add '50' to each side of the equation.
-50 + 50 + -5x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -5x = 0 + 50
-5x = 0 + 50

Combine like terms: 0 + 50 = 50
-5x = 50

Divide each side by '-5'.
x = -10

Simplifying
x = -10

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