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

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


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

Reorder the terms:
5(-2 + x) + -3(2x + 1) = 4(1 + x)
(-2 * 5 + x * 5) + -3(2x + 1) = 4(1 + x)
(-10 + 5x) + -3(2x + 1) = 4(1 + x)

Reorder the terms:
-10 + 5x + -3(1 + 2x) = 4(1 + x)
-10 + 5x + (1 * -3 + 2x * -3) = 4(1 + x)
-10 + 5x + (-3 + -6x) = 4(1 + x)

Reorder the terms:
-10 + -3 + 5x + -6x = 4(1 + x)

Combine like terms: -10 + -3 = -13
-13 + 5x + -6x = 4(1 + x)

Combine like terms: 5x + -6x = -1x
-13 + -1x = 4(1 + x)
-13 + -1x = (1 * 4 + x * 4)
-13 + -1x = (4 + 4x)

Solving
-13 + -1x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + -1x + -4x = 4 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-13 + -5x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -5x = 4 + 0
-13 + -5x = 4

Add '13' to each side of the equation.
-13 + 13 + -5x = 4 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = 4 + 13
-5x = 4 + 13

Combine like terms: 4 + 13 = 17
-5x = 17

Divide each side by '-5'.
x = -3.4

Simplifying
x = -3.4

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