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

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


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

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

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

Combine like terms: -15 + -10 = -25
-25 + 3x = 2(x + -5) + -4

Reorder the terms:
-25 + 3x = 2(-5 + x) + -4
-25 + 3x = (-5 * 2 + x * 2) + -4
-25 + 3x = (-10 + 2x) + -4

Reorder the terms:
-25 + 3x = -10 + -4 + 2x

Combine like terms: -10 + -4 = -14
-25 + 3x = -14 + 2x

Solving
-25 + 3x = -14 + 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.
-25 + 3x + -2x = -14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-25 + 1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 1x = -14 + 0
-25 + 1x = -14

Add '25' to each side of the equation.
-25 + 25 + 1x = -14 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = -14 + 25
1x = -14 + 25

Combine like terms: -14 + 25 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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