5(x-3)+8=7x-2(6x+7)

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Solution for 5(x-3)+8=7x-2(6x+7) equation:


Simplifying
5(x + -3) + 8 = 7x + -2(6x + 7)

Reorder the terms:
5(-3 + x) + 8 = 7x + -2(6x + 7)
(-3 * 5 + x * 5) + 8 = 7x + -2(6x + 7)
(-15 + 5x) + 8 = 7x + -2(6x + 7)

Reorder the terms:
-15 + 8 + 5x = 7x + -2(6x + 7)

Combine like terms: -15 + 8 = -7
-7 + 5x = 7x + -2(6x + 7)

Reorder the terms:
-7 + 5x = 7x + -2(7 + 6x)
-7 + 5x = 7x + (7 * -2 + 6x * -2)
-7 + 5x = 7x + (-14 + -12x)

Reorder the terms:
-7 + 5x = -14 + 7x + -12x

Combine like terms: 7x + -12x = -5x
-7 + 5x = -14 + -5x

Solving
-7 + 5x = -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.
-7 + 5x + 5x = -14 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-7 + 10x = -14 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 10x = -14 + 0
-7 + 10x = -14

Add '7' to each side of the equation.
-7 + 7 + 10x = -14 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = -14 + 7
10x = -14 + 7

Combine like terms: -14 + 7 = -7
10x = -7

Divide each side by '10'.
x = -0.7

Simplifying
x = -0.7

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