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

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


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

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

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

Reorder the terms:
-4 + 7x = 5(-2 + 3x) + 4
-4 + 7x = (-2 * 5 + 3x * 5) + 4
-4 + 7x = (-10 + 15x) + 4

Reorder the terms:
-4 + 7x = -10 + 4 + 15x

Combine like terms: -10 + 4 = -6
-4 + 7x = -6 + 15x

Solving
-4 + 7x = -6 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-4 + 7x + -15x = -6 + 15x + -15x

Combine like terms: 7x + -15x = -8x
-4 + -8x = -6 + 15x + -15x

Combine like terms: 15x + -15x = 0
-4 + -8x = -6 + 0
-4 + -8x = -6

Add '4' to each side of the equation.
-4 + 4 + -8x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -8x = -6 + 4
-8x = -6 + 4

Combine like terms: -6 + 4 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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