5x-3(2x-9)=4(3x-1)+7

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Solution for 5x-3(2x-9)=4(3x-1)+7 equation:


Simplifying
5x + -3(2x + -9) = 4(3x + -1) + 7

Reorder the terms:
5x + -3(-9 + 2x) = 4(3x + -1) + 7
5x + (-9 * -3 + 2x * -3) = 4(3x + -1) + 7
5x + (27 + -6x) = 4(3x + -1) + 7

Reorder the terms:
27 + 5x + -6x = 4(3x + -1) + 7

Combine like terms: 5x + -6x = -1x
27 + -1x = 4(3x + -1) + 7

Reorder the terms:
27 + -1x = 4(-1 + 3x) + 7
27 + -1x = (-1 * 4 + 3x * 4) + 7
27 + -1x = (-4 + 12x) + 7

Reorder the terms:
27 + -1x = -4 + 7 + 12x

Combine like terms: -4 + 7 = 3
27 + -1x = 3 + 12x

Solving
27 + -1x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
27 + -1x + -12x = 3 + 12x + -12x

Combine like terms: -1x + -12x = -13x
27 + -13x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
27 + -13x = 3 + 0
27 + -13x = 3

Add '-27' to each side of the equation.
27 + -27 + -13x = 3 + -27

Combine like terms: 27 + -27 = 0
0 + -13x = 3 + -27
-13x = 3 + -27

Combine like terms: 3 + -27 = -24
-13x = -24

Divide each side by '-13'.
x = 1.846153846

Simplifying
x = 1.846153846

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