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

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


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

Reorder the terms:
4 + -3(-5 + 2x) + 3x = 2x + 4
4 + (-5 * -3 + 2x * -3) + 3x = 2x + 4
4 + (15 + -6x) + 3x = 2x + 4

Combine like terms: 4 + 15 = 19
19 + -6x + 3x = 2x + 4

Combine like terms: -6x + 3x = -3x
19 + -3x = 2x + 4

Reorder the terms:
19 + -3x = 4 + 2x

Solving
19 + -3x = 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.
19 + -3x + -2x = 4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
19 + -5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + -5x = 4 + 0
19 + -5x = 4

Add '-19' to each side of the equation.
19 + -19 + -5x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 4 + -19
-5x = 4 + -19

Combine like terms: 4 + -19 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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