5(3x+4)=1-2(-7x-8)

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Solution for 5(3x+4)=1-2(-7x-8) equation:


Simplifying
5(3x + 4) = 1 + -2(-7x + -8)

Reorder the terms:
5(4 + 3x) = 1 + -2(-7x + -8)
(4 * 5 + 3x * 5) = 1 + -2(-7x + -8)
(20 + 15x) = 1 + -2(-7x + -8)

Reorder the terms:
20 + 15x = 1 + -2(-8 + -7x)
20 + 15x = 1 + (-8 * -2 + -7x * -2)
20 + 15x = 1 + (16 + 14x)

Combine like terms: 1 + 16 = 17
20 + 15x = 17 + 14x

Solving
20 + 15x = 17 + 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.
20 + 15x + -14x = 17 + 14x + -14x

Combine like terms: 15x + -14x = 1x
20 + 1x = 17 + 14x + -14x

Combine like terms: 14x + -14x = 0
20 + 1x = 17 + 0
20 + 1x = 17

Add '-20' to each side of the equation.
20 + -20 + 1x = 17 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 17 + -20
1x = 17 + -20

Combine like terms: 17 + -20 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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