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

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


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

Reorder the terms:
5(-3 + x) = 4 + -1(2x + 7)
(-3 * 5 + x * 5) = 4 + -1(2x + 7)
(-15 + 5x) = 4 + -1(2x + 7)

Reorder the terms:
-15 + 5x = 4 + -1(7 + 2x)
-15 + 5x = 4 + (7 * -1 + 2x * -1)
-15 + 5x = 4 + (-7 + -2x)

Combine like terms: 4 + -7 = -3
-15 + 5x = -3 + -2x

Solving
-15 + 5x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + 5x + 2x = -3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-15 + 7x = -3 + 0
-15 + 7x = -3

Add '15' to each side of the equation.
-15 + 15 + 7x = -3 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = -3 + 15
7x = -3 + 15

Combine like terms: -3 + 15 = 12
7x = 12

Divide each side by '7'.
x = 1.714285714

Simplifying
x = 1.714285714

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