4(2x-1)-5(1-3x)=6(x-3)+4x

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Solution for 4(2x-1)-5(1-3x)=6(x-3)+4x equation:


Simplifying
4(2x + -1) + -5(1 + -3x) = 6(x + -3) + 4x

Reorder the terms:
4(-1 + 2x) + -5(1 + -3x) = 6(x + -3) + 4x
(-1 * 4 + 2x * 4) + -5(1 + -3x) = 6(x + -3) + 4x
(-4 + 8x) + -5(1 + -3x) = 6(x + -3) + 4x
-4 + 8x + (1 * -5 + -3x * -5) = 6(x + -3) + 4x
-4 + 8x + (-5 + 15x) = 6(x + -3) + 4x

Reorder the terms:
-4 + -5 + 8x + 15x = 6(x + -3) + 4x

Combine like terms: -4 + -5 = -9
-9 + 8x + 15x = 6(x + -3) + 4x

Combine like terms: 8x + 15x = 23x
-9 + 23x = 6(x + -3) + 4x

Reorder the terms:
-9 + 23x = 6(-3 + x) + 4x
-9 + 23x = (-3 * 6 + x * 6) + 4x
-9 + 23x = (-18 + 6x) + 4x

Combine like terms: 6x + 4x = 10x
-9 + 23x = -18 + 10x

Solving
-9 + 23x = -18 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-9 + 23x + -10x = -18 + 10x + -10x

Combine like terms: 23x + -10x = 13x
-9 + 13x = -18 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + 13x = -18 + 0
-9 + 13x = -18

Add '9' to each side of the equation.
-9 + 9 + 13x = -18 + 9

Combine like terms: -9 + 9 = 0
0 + 13x = -18 + 9
13x = -18 + 9

Combine like terms: -18 + 9 = -9
13x = -9

Divide each side by '13'.
x = -0.6923076923

Simplifying
x = -0.6923076923

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