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

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


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

Combine like terms: 3 + -2 = 1
5(1) + 4x = 3(3x + -1) + 7

Multiply 5 * 1
5 + 4x = 3(3x + -1) + 7

Reorder the terms:
5 + 4x = 3(-1 + 3x) + 7
5 + 4x = (-1 * 3 + 3x * 3) + 7
5 + 4x = (-3 + 9x) + 7

Reorder the terms:
5 + 4x = -3 + 7 + 9x

Combine like terms: -3 + 7 = 4
5 + 4x = 4 + 9x

Solving
5 + 4x = 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.
5 + 4x + -9x = 4 + 9x + -9x

Combine like terms: 4x + -9x = -5x
5 + -5x = 4 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -5x = 4 + 0
5 + -5x = 4

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

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

Combine like terms: 4 + -5 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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