5x+4(1-7x)=-5x-14

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Solution for 5x+4(1-7x)=-5x-14 equation:


Simplifying
5x + 4(1 + -7x) = -5x + -14
5x + (1 * 4 + -7x * 4) = -5x + -14
5x + (4 + -28x) = -5x + -14

Reorder the terms:
4 + 5x + -28x = -5x + -14

Combine like terms: 5x + -28x = -23x
4 + -23x = -5x + -14

Reorder the terms:
4 + -23x = -14 + -5x

Solving
4 + -23x = -14 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
4 + -23x + 5x = -14 + -5x + 5x

Combine like terms: -23x + 5x = -18x
4 + -18x = -14 + -5x + 5x

Combine like terms: -5x + 5x = 0
4 + -18x = -14 + 0
4 + -18x = -14

Add '-4' to each side of the equation.
4 + -4 + -18x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -18x = -14 + -4
-18x = -14 + -4

Combine like terms: -14 + -4 = -18
-18x = -18

Divide each side by '-18'.
x = 1

Simplifying
x = 1

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