5x+3-2(4-3x)=6x+2+4x

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Solution for 5x+3-2(4-3x)=6x+2+4x equation:


Simplifying
5x + 3 + -2(4 + -3x) = 6x + 2 + 4x
5x + 3 + (4 * -2 + -3x * -2) = 6x + 2 + 4x
5x + 3 + (-8 + 6x) = 6x + 2 + 4x

Reorder the terms:
3 + -8 + 5x + 6x = 6x + 2 + 4x

Combine like terms: 3 + -8 = -5
-5 + 5x + 6x = 6x + 2 + 4x

Combine like terms: 5x + 6x = 11x
-5 + 11x = 6x + 2 + 4x

Reorder the terms:
-5 + 11x = 2 + 6x + 4x

Combine like terms: 6x + 4x = 10x
-5 + 11x = 2 + 10x

Solving
-5 + 11x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-5 + 11x + -10x = 2 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-5 + 1x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + 1x = 2 + 0
-5 + 1x = 2

Add '5' to each side of the equation.
-5 + 5 + 1x = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 2 + 5
1x = 2 + 5

Combine like terms: 2 + 5 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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