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

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


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

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

Combine like terms: 5 + 6 = 11
11 + -3x = 4(x + 1)

Reorder the terms:
11 + -3x = 4(1 + x)
11 + -3x = (1 * 4 + x * 4)
11 + -3x = (4 + 4x)

Solving
11 + -3x = 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.
11 + -3x + -4x = 4 + 4x + -4x

Combine like terms: -3x + -4x = -7x
11 + -7x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -7x = 4 + 0
11 + -7x = 4

Add '-11' to each side of the equation.
11 + -11 + -7x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 4 + -11
-7x = 4 + -11

Combine like terms: 4 + -11 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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