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

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


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

Reorder the terms:
2(-7 + x) = 3 + -1(5x + 4)
(-7 * 2 + x * 2) = 3 + -1(5x + 4)
(-14 + 2x) = 3 + -1(5x + 4)

Reorder the terms:
-14 + 2x = 3 + -1(4 + 5x)
-14 + 2x = 3 + (4 * -1 + 5x * -1)
-14 + 2x = 3 + (-4 + -5x)

Combine like terms: 3 + -4 = -1
-14 + 2x = -1 + -5x

Solving
-14 + 2x = -1 + -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.
-14 + 2x + 5x = -1 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-14 + 7x = -1 + -5x + 5x

Combine like terms: -5x + 5x = 0
-14 + 7x = -1 + 0
-14 + 7x = -1

Add '14' to each side of the equation.
-14 + 14 + 7x = -1 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = -1 + 14
7x = -1 + 14

Combine like terms: -1 + 14 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857

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