5(3-2x)+4x=3(3x-1)+7

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Solution for 5(3-2x)+4x=3(3x-1)+7 equation: 


Simplifying
5(3 + -2x) + 4x = 3(3x + -1) + 7
(3 * 5 + -2x * 5) + 4x = 3(3x + -1) + 7
(15 + -10x) + 4x = 3(3x + -1) + 7

Combine like terms: -10x + 4x = -6x
15 + -6x = 3(3x + -1) + 7

Reorder the terms:
15 + -6x = 3(-1 + 3x) + 7
15 + -6x = (-1 * 3 + 3x * 3) + 7
15 + -6x = (-3 + 9x) + 7

Reorder the terms:
15 + -6x = -3 + 7 + 9x

Combine like terms: -3 + 7 = 4
15 + -6x = 4 + 9x

Solving
15 + -6x = 4 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + -6x + -9x = 4 + 9x + -9x

Combine like terms: -6x + -9x = -15x
15 + -15x = 4 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -15x = 4 + 0
15 + -15x = 4

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

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

Combine like terms: 4 + -15 = -11
-15x = -11

Divide each side by '-15'.
x = 0.7333333333

Simplifying
x = 0.7333333333

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