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

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


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

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

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

Combine like terms: -2x + 5x = 3x
10 + 3x = 2x + -4

Reorder the terms:
10 + 3x = -4 + 2x

Solving
10 + 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.
10 + 3x + -2x = -4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
10 + 1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 1x = -4 + 0
10 + 1x = -4

Add '-10' to each side of the equation.
10 + -10 + 1x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -4 + -10
1x = -4 + -10

Combine like terms: -4 + -10 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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