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

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


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

Reorder the terms:
4x + -3(5 + x) = 2x + -10
4x + (5 * -3 + x * -3) = 2x + -10
4x + (-15 + -3x) = 2x + -10

Reorder the terms:
-15 + 4x + -3x = 2x + -10

Combine like terms: 4x + -3x = 1x
-15 + 1x = 2x + -10

Reorder the terms:
-15 + 1x = -10 + 2x

Solving
-15 + 1x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 1x + -2x = -10 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-15 + -1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + -1x = -10 + 0
-15 + -1x = -10

Add '15' to each side of the equation.
-15 + 15 + -1x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -10 + 15
-1x = -10 + 15

Combine like terms: -10 + 15 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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