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

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


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

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

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

Reorder the terms:
2 + 2x = 2x + 3(-4 + 5x)
2 + 2x = 2x + (-4 * 3 + 5x * 3)
2 + 2x = 2x + (-12 + 15x)

Reorder the terms:
2 + 2x = -12 + 2x + 15x

Combine like terms: 2x + 15x = 17x
2 + 2x = -12 + 17x

Solving
2 + 2x = -12 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
2 + 2x + -17x = -12 + 17x + -17x

Combine like terms: 2x + -17x = -15x
2 + -15x = -12 + 17x + -17x

Combine like terms: 17x + -17x = 0
2 + -15x = -12 + 0
2 + -15x = -12

Add '-2' to each side of the equation.
2 + -2 + -15x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -15x = -12 + -2
-15x = -12 + -2

Combine like terms: -12 + -2 = -14
-15x = -14

Divide each side by '-15'.
x = 0.9333333333

Simplifying
x = 0.9333333333

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