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

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


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

Reorder the terms:
2(5 + x) = 3 + -1(4 + -3x)
(5 * 2 + x * 2) = 3 + -1(4 + -3x)
(10 + 2x) = 3 + -1(4 + -3x)
10 + 2x = 3 + (4 * -1 + -3x * -1)
10 + 2x = 3 + (-4 + 3x)

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

Solving
10 + 2x = -1 + 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 + 2x + -3x = -1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + -1x = -1 + 0
10 + -1x = -1

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

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

Combine like terms: -1 + -10 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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