4(x+1.3)=3(x-1.1)+4.7

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Solution for 4(x+1.3)=3(x-1.1)+4.7 equation:


Simplifying
4(x + 1.3) = 3(x + -1.1) + 4.7

Reorder the terms:
4(1.3 + x) = 3(x + -1.1) + 4.7
(1.3 * 4 + x * 4) = 3(x + -1.1) + 4.7
(5.2 + 4x) = 3(x + -1.1) + 4.7

Reorder the terms:
5.2 + 4x = 3(-1.1 + x) + 4.7
5.2 + 4x = (-1.1 * 3 + x * 3) + 4.7
5.2 + 4x = (-3.3 + 3x) + 4.7

Reorder the terms:
5.2 + 4x = -3.3 + 4.7 + 3x

Combine like terms: -3.3 + 4.7 = 1.4
5.2 + 4x = 1.4 + 3x

Solving
5.2 + 4x = 1.4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5.2 + 4x + -3x = 1.4 + 3x + -3x

Combine like terms: 4x + -3x = 1x
5.2 + 1x = 1.4 + 3x + -3x

Combine like terms: 3x + -3x = 0
5.2 + 1x = 1.4 + 0
5.2 + 1x = 1.4

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 1x = 1.4 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 1x = 1.4 + -5.2
1x = 1.4 + -5.2

Combine like terms: 1.4 + -5.2 = -3.8
1x = -3.8

Divide each side by '1'.
x = -3.8

Simplifying
x = -3.8

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