4(4x+1)+3(5-x)=32

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Solution for 4(4x+1)+3(5-x)=32 equation:


Simplifying
4(4x + 1) + 3(5 + -1x) = 32

Reorder the terms:
4(1 + 4x) + 3(5 + -1x) = 32
(1 * 4 + 4x * 4) + 3(5 + -1x) = 32
(4 + 16x) + 3(5 + -1x) = 32
4 + 16x + (5 * 3 + -1x * 3) = 32
4 + 16x + (15 + -3x) = 32

Reorder the terms:
4 + 15 + 16x + -3x = 32

Combine like terms: 4 + 15 = 19
19 + 16x + -3x = 32

Combine like terms: 16x + -3x = 13x
19 + 13x = 32

Solving
19 + 13x = 32

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 13x = 32 + -19

Combine like terms: 19 + -19 = 0
0 + 13x = 32 + -19
13x = 32 + -19

Combine like terms: 32 + -19 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1

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