3(x+2)+10=4(x+5)+144

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Solution for 3(x+2)+10=4(x+5)+144 equation: 


Simplifying
3(x + 2) + 10 = 4(x + 5) + 144

Reorder the terms:
3(2 + x) + 10 = 4(x + 5) + 144
(2 * 3 + x * 3) + 10 = 4(x + 5) + 144
(6 + 3x) + 10 = 4(x + 5) + 144

Reorder the terms:
6 + 10 + 3x = 4(x + 5) + 144

Combine like terms: 6 + 10 = 16
16 + 3x = 4(x + 5) + 144

Reorder the terms:
16 + 3x = 4(5 + x) + 144
16 + 3x = (5 * 4 + x * 4) + 144
16 + 3x = (20 + 4x) + 144

Reorder the terms:
16 + 3x = 20 + 144 + 4x

Combine like terms: 20 + 144 = 164
16 + 3x = 164 + 4x

Solving
16 + 3x = 164 + 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.
16 + 3x + -4x = 164 + 4x + -4x

Combine like terms: 3x + -4x = -1x
16 + -1x = 164 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -1x = 164 + 0
16 + -1x = 164

Add '-16' to each side of the equation.
16 + -16 + -1x = 164 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 164 + -16
-1x = 164 + -16

Combine like terms: 164 + -16 = 148
-1x = 148

Divide each side by '-1'.
x = -148

Simplifying
x = -148

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