x+3-(6-15x)=12(6x-4)-3x+4

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Solution for x+3-(6-15x)=12(6x-4)-3x+4 equation:


Simplifying
x + 3 + -1(6 + -15x) = 12(6x + -4) + -3x + 4
x + 3 + (6 * -1 + -15x * -1) = 12(6x + -4) + -3x + 4
x + 3 + (-6 + 15x) = 12(6x + -4) + -3x + 4

Reorder the terms:
3 + -6 + x + 15x = 12(6x + -4) + -3x + 4

Combine like terms: 3 + -6 = -3
-3 + x + 15x = 12(6x + -4) + -3x + 4

Combine like terms: x + 15x = 16x
-3 + 16x = 12(6x + -4) + -3x + 4

Reorder the terms:
-3 + 16x = 12(-4 + 6x) + -3x + 4
-3 + 16x = (-4 * 12 + 6x * 12) + -3x + 4
-3 + 16x = (-48 + 72x) + -3x + 4

Reorder the terms:
-3 + 16x = -48 + 4 + 72x + -3x

Combine like terms: -48 + 4 = -44
-3 + 16x = -44 + 72x + -3x

Combine like terms: 72x + -3x = 69x
-3 + 16x = -44 + 69x

Solving
-3 + 16x = -44 + 69x

Solving for variable 'x'.

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

Add '-69x' to each side of the equation.
-3 + 16x + -69x = -44 + 69x + -69x

Combine like terms: 16x + -69x = -53x
-3 + -53x = -44 + 69x + -69x

Combine like terms: 69x + -69x = 0
-3 + -53x = -44 + 0
-3 + -53x = -44

Add '3' to each side of the equation.
-3 + 3 + -53x = -44 + 3

Combine like terms: -3 + 3 = 0
0 + -53x = -44 + 3
-53x = -44 + 3

Combine like terms: -44 + 3 = -41
-53x = -41

Divide each side by '-53'.
x = 0.7735849057

Simplifying
x = 0.7735849057

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