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

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


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

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

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

Combine like terms: 2 + 5 = 7
7 + x + -3x = 2x + 4

Combine like terms: x + -3x = -2x
7 + -2x = 2x + 4

Reorder the terms:
7 + -2x = 4 + 2x

Solving
7 + -2x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -2x + -2x = 4 + 2x + -2x

Combine like terms: -2x + -2x = -4x
7 + -4x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -4x = 4 + 0
7 + -4x = 4

Add '-7' to each side of the equation.
7 + -7 + -4x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 4 + -7
-4x = 4 + -7

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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