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

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


Simplifying
3(5 + -1x) + -3 = 4(x + 2) + -10
(5 * 3 + -1x * 3) + -3 = 4(x + 2) + -10
(15 + -3x) + -3 = 4(x + 2) + -10

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

Combine like terms: 15 + -3 = 12
12 + -3x = 4(x + 2) + -10

Reorder the terms:
12 + -3x = 4(2 + x) + -10
12 + -3x = (2 * 4 + x * 4) + -10
12 + -3x = (8 + 4x) + -10

Reorder the terms:
12 + -3x = 8 + -10 + 4x

Combine like terms: 8 + -10 = -2
12 + -3x = -2 + 4x

Solving
12 + -3x = -2 + 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.
12 + -3x + -4x = -2 + 4x + -4x

Combine like terms: -3x + -4x = -7x
12 + -7x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -7x = -2 + 0
12 + -7x = -2

Add '-12' to each side of the equation.
12 + -12 + -7x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -2 + -12
-7x = -2 + -12

Combine like terms: -2 + -12 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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