1.2(x-5)=0.7(2x+3)

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Solution for 1.2(x-5)=0.7(2x+3) equation:


Simplifying
1.2(x + -5) = 0.7(2x + 3)

Reorder the terms:
1.2(-5 + x) = 0.7(2x + 3)
(-5 * 1.2 + x * 1.2) = 0.7(2x + 3)
(-6 + 1.2x) = 0.7(2x + 3)

Reorder the terms:
-6 + 1.2x = 0.7(3 + 2x)
-6 + 1.2x = (3 * 0.7 + 2x * 0.7)
-6 + 1.2x = (2.1 + 1.4x)

Solving
-6 + 1.2x = 2.1 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
-6 + 1.2x + -1.4x = 2.1 + 1.4x + -1.4x

Combine like terms: 1.2x + -1.4x = -0.2x
-6 + -0.2x = 2.1 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
-6 + -0.2x = 2.1 + 0.0
-6 + -0.2x = 2.1

Add '6' to each side of the equation.
-6 + 6 + -0.2x = 2.1 + 6

Combine like terms: -6 + 6 = 0
0 + -0.2x = 2.1 + 6
-0.2x = 2.1 + 6

Combine like terms: 2.1 + 6 = 8.1
-0.2x = 8.1

Divide each side by '-0.2'.
x = -40.5

Simplifying
x = -40.5

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