-5(x+1)+3x=6-(4x-3)

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Solution for -5(x+1)+3x=6-(4x-3) equation:


Simplifying
-5(x + 1) + 3x = 6 + -1(4x + -3)

Reorder the terms:
-5(1 + x) + 3x = 6 + -1(4x + -3)
(1 * -5 + x * -5) + 3x = 6 + -1(4x + -3)
(-5 + -5x) + 3x = 6 + -1(4x + -3)

Combine like terms: -5x + 3x = -2x
-5 + -2x = 6 + -1(4x + -3)

Reorder the terms:
-5 + -2x = 6 + -1(-3 + 4x)
-5 + -2x = 6 + (-3 * -1 + 4x * -1)
-5 + -2x = 6 + (3 + -4x)

Combine like terms: 6 + 3 = 9
-5 + -2x = 9 + -4x

Solving
-5 + -2x = 9 + -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.
-5 + -2x + 4x = 9 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-5 + 2x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 2x = 9 + 0
-5 + 2x = 9

Add '5' to each side of the equation.
-5 + 5 + 2x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 9 + 5
2x = 9 + 5

Combine like terms: 9 + 5 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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