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

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


Simplifying
3(x + -2) + -4(x + -5) + -10 = 0

Reorder the terms:
3(-2 + x) + -4(x + -5) + -10 = 0
(-2 * 3 + x * 3) + -4(x + -5) + -10 = 0
(-6 + 3x) + -4(x + -5) + -10 = 0

Reorder the terms:
-6 + 3x + -4(-5 + x) + -10 = 0
-6 + 3x + (-5 * -4 + x * -4) + -10 = 0
-6 + 3x + (20 + -4x) + -10 = 0

Reorder the terms:
-6 + 20 + -10 + 3x + -4x = 0

Combine like terms: -6 + 20 = 14
14 + -10 + 3x + -4x = 0

Combine like terms: 14 + -10 = 4
4 + 3x + -4x = 0

Combine like terms: 3x + -4x = -1x
4 + -1x = 0

Solving
4 + -1x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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