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

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


Simplifying
4(3 + x) + -5(2 + -3) = 2(1 + x)
(3 * 4 + x * 4) + -5(2 + -3) = 2(1 + x)
(12 + 4x) + -5(2 + -3) = 2(1 + x)

Combine like terms: 2 + -3 = -1
12 + 4x + -5(-1) = 2(1 + x)

Multiply -5 * -1
12 + 4x + 5 = 2(1 + x)

Reorder the terms:
12 + 5 + 4x = 2(1 + x)

Combine like terms: 12 + 5 = 17
17 + 4x = 2(1 + x)
17 + 4x = (1 * 2 + x * 2)
17 + 4x = (2 + 2x)

Solving
17 + 4x = 2 + 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.
17 + 4x + -2x = 2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
17 + 2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + 2x = 2 + 0
17 + 2x = 2

Add '-17' to each side of the equation.
17 + -17 + 2x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 2 + -17
2x = 2 + -17

Combine like terms: 2 + -17 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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