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

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


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

Reorder the terms:
4(-7 + 2x) + -3 = 4(x + -5) + 1
(-7 * 4 + 2x * 4) + -3 = 4(x + -5) + 1
(-28 + 8x) + -3 = 4(x + -5) + 1

Reorder the terms:
-28 + -3 + 8x = 4(x + -5) + 1

Combine like terms: -28 + -3 = -31
-31 + 8x = 4(x + -5) + 1

Reorder the terms:
-31 + 8x = 4(-5 + x) + 1
-31 + 8x = (-5 * 4 + x * 4) + 1
-31 + 8x = (-20 + 4x) + 1

Reorder the terms:
-31 + 8x = -20 + 1 + 4x

Combine like terms: -20 + 1 = -19
-31 + 8x = -19 + 4x

Solving
-31 + 8x = -19 + 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.
-31 + 8x + -4x = -19 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-31 + 4x = -19 + 4x + -4x

Combine like terms: 4x + -4x = 0
-31 + 4x = -19 + 0
-31 + 4x = -19

Add '31' to each side of the equation.
-31 + 31 + 4x = -19 + 31

Combine like terms: -31 + 31 = 0
0 + 4x = -19 + 31
4x = -19 + 31

Combine like terms: -19 + 31 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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