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

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


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

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

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

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

Combine like terms: 15 + 2 = 17
10 + 4x = 17 + -3x

Solving
10 + 4x = 17 + -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.
10 + 4x + 3x = 17 + -3x + 3x

Combine like terms: 4x + 3x = 7x
10 + 7x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 7x = 17 + 0
10 + 7x = 17

Add '-10' to each side of the equation.
10 + -10 + 7x = 17 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 17 + -10
7x = 17 + -10

Combine like terms: 17 + -10 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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