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

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


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

Reorder the terms:
5(-2 + x) + -4x = 7 + -3(2x + 1)
(-2 * 5 + x * 5) + -4x = 7 + -3(2x + 1)
(-10 + 5x) + -4x = 7 + -3(2x + 1)

Combine like terms: 5x + -4x = 1x
-10 + 1x = 7 + -3(2x + 1)

Reorder the terms:
-10 + 1x = 7 + -3(1 + 2x)
-10 + 1x = 7 + (1 * -3 + 2x * -3)
-10 + 1x = 7 + (-3 + -6x)

Combine like terms: 7 + -3 = 4
-10 + 1x = 4 + -6x

Solving
-10 + 1x = 4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10 + 1x + 6x = 4 + -6x + 6x

Combine like terms: 1x + 6x = 7x
-10 + 7x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 7x = 4 + 0
-10 + 7x = 4

Add '10' to each side of the equation.
-10 + 10 + 7x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 4 + 10
7x = 4 + 10

Combine like terms: 4 + 10 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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