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

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


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

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

Combine like terms: 4x + -2x = 2x
-20 + 2x = 3x + 10

Reorder the terms:
-20 + 2x = 10 + 3x

Solving
-20 + 2x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 2x + -3x = 10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-20 + -1x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -1x = 10 + 0
-20 + -1x = 10

Add '20' to each side of the equation.
-20 + 20 + -1x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 10 + 20
-1x = 10 + 20

Combine like terms: 10 + 20 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

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