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

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


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

Reorder the terms:
5(-7 + 4x) + -4x + 3 = 5x + 1
(-7 * 5 + 4x * 5) + -4x + 3 = 5x + 1
(-35 + 20x) + -4x + 3 = 5x + 1

Reorder the terms:
-35 + 3 + 20x + -4x = 5x + 1

Combine like terms: -35 + 3 = -32
-32 + 20x + -4x = 5x + 1

Combine like terms: 20x + -4x = 16x
-32 + 16x = 5x + 1

Reorder the terms:
-32 + 16x = 1 + 5x

Solving
-32 + 16x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-32 + 16x + -5x = 1 + 5x + -5x

Combine like terms: 16x + -5x = 11x
-32 + 11x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + 11x = 1 + 0
-32 + 11x = 1

Add '32' to each side of the equation.
-32 + 32 + 11x = 1 + 32

Combine like terms: -32 + 32 = 0
0 + 11x = 1 + 32
11x = 1 + 32

Combine like terms: 1 + 32 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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