5x+6-3(1+5x)=-7(2-2x)

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Solution for 5x+6-3(1+5x)=-7(2-2x) equation:


Simplifying
5x + 6 + -3(1 + 5x) = -7(2 + -2x)
5x + 6 + (1 * -3 + 5x * -3) = -7(2 + -2x)
5x + 6 + (-3 + -15x) = -7(2 + -2x)

Reorder the terms:
6 + -3 + 5x + -15x = -7(2 + -2x)

Combine like terms: 6 + -3 = 3
3 + 5x + -15x = -7(2 + -2x)

Combine like terms: 5x + -15x = -10x
3 + -10x = -7(2 + -2x)
3 + -10x = (2 * -7 + -2x * -7)
3 + -10x = (-14 + 14x)

Solving
3 + -10x = -14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
3 + -10x + -14x = -14 + 14x + -14x

Combine like terms: -10x + -14x = -24x
3 + -24x = -14 + 14x + -14x

Combine like terms: 14x + -14x = 0
3 + -24x = -14 + 0
3 + -24x = -14

Add '-3' to each side of the equation.
3 + -3 + -24x = -14 + -3

Combine like terms: 3 + -3 = 0
0 + -24x = -14 + -3
-24x = -14 + -3

Combine like terms: -14 + -3 = -17
-24x = -17

Divide each side by '-24'.
x = 0.7083333333

Simplifying
x = 0.7083333333

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