0.7(5x+15)=2.9(x+3)

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Solution for 0.7(5x+15)=2.9(x+3) equation: 


Simplifying
0.7(5x + 15) = 2.9(x + 3)

Reorder the terms:
0.7(15 + 5x) = 2.9(x + 3)
(15 * 0.7 + 5x * 0.7) = 2.9(x + 3)
(10.5 + 3.5x) = 2.9(x + 3)

Reorder the terms:
10.5 + 3.5x = 2.9(3 + x)
10.5 + 3.5x = (3 * 2.9 + x * 2.9)
10.5 + 3.5x = (8.7 + 2.9x)

Solving
10.5 + 3.5x = 8.7 + 2.9x

Solving for variable 'x'.

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

Add '-2.9x' to each side of the equation.
10.5 + 3.5x + -2.9x = 8.7 + 2.9x + -2.9x

Combine like terms: 3.5x + -2.9x = 0.6x
10.5 + 0.6x = 8.7 + 2.9x + -2.9x

Combine like terms: 2.9x + -2.9x = 0.0
10.5 + 0.6x = 8.7 + 0.0
10.5 + 0.6x = 8.7

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 0.6x = 8.7 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 0.6x = 8.7 + -10.5
0.6x = 8.7 + -10.5

Combine like terms: 8.7 + -10.5 = -1.8
0.6x = -1.8

Divide each side by '0.6'.
x = -3

Simplifying
x = -3

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