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

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


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

Reorder the terms:
5(-7 + 2x) + 3(x + 4) = 4(x + 1)
(-7 * 5 + 2x * 5) + 3(x + 4) = 4(x + 1)
(-35 + 10x) + 3(x + 4) = 4(x + 1)

Reorder the terms:
-35 + 10x + 3(4 + x) = 4(x + 1)
-35 + 10x + (4 * 3 + x * 3) = 4(x + 1)
-35 + 10x + (12 + 3x) = 4(x + 1)

Reorder the terms:
-35 + 12 + 10x + 3x = 4(x + 1)

Combine like terms: -35 + 12 = -23
-23 + 10x + 3x = 4(x + 1)

Combine like terms: 10x + 3x = 13x
-23 + 13x = 4(x + 1)

Reorder the terms:
-23 + 13x = 4(1 + x)
-23 + 13x = (1 * 4 + x * 4)
-23 + 13x = (4 + 4x)

Solving
-23 + 13x = 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.
-23 + 13x + -4x = 4 + 4x + -4x

Combine like terms: 13x + -4x = 9x
-23 + 9x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-23 + 9x = 4 + 0
-23 + 9x = 4

Add '23' to each side of the equation.
-23 + 23 + 9x = 4 + 23

Combine like terms: -23 + 23 = 0
0 + 9x = 4 + 23
9x = 4 + 23

Combine like terms: 4 + 23 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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